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Articles 871 - 900 of 10317
Full-Text Articles in Physical Sciences and Mathematics
Formal Categorical Reasoning, Burak Eki̇ci̇
Formal Categorical Reasoning, Burak Eki̇ci̇
Turkish Journal of Mathematics
In this paper, we present a category theory library developed in the proof assistant Coq. We discuss the design principles of the library in comparison with those existing out there. To explicitly demonstrate the utility of the library, we conclude with a case study in which a Coq formalized soundness proof of the intuitionistic propositional logic within a category theoretical settings is examined.
Capelli Identities On Algebras With Involution Or Graded Involution, Francesca Saviella Benanti, Angela Valenti
Capelli Identities On Algebras With Involution Or Graded Involution, Francesca Saviella Benanti, Angela Valenti
Turkish Journal of Mathematics
We present recent results about Capelli polynomials with involution or graded involution and their asymptotics. In the associative case, the asymptotic equality between the codimensions of the $T$-ideal generated by the Capelli polynomial of rank $k^2+1$ and the codimensions of the matrix algebra $M_k(F)$ was proved. This result was extended to superalgebras. Recently, similar results have been determined by the authors in the case of algebras with involution and superalgebras with graded involution.
Symmetric Polynomials In Free Associative Algebras, Silvia Boumova, Vesselin Drensky, Deyan Dzhundrekov, Martin Kassabov
Symmetric Polynomials In Free Associative Algebras, Silvia Boumova, Vesselin Drensky, Deyan Dzhundrekov, Martin Kassabov
Turkish Journal of Mathematics
By a result of Margarete Wolf in 1936, we know that the algebra $K\langle X_d\rangle^{Sym(d)}$ of symmetric polynomials in noncommuting variables is not finitely generated. In 1984, Koryukin proved that if we equip the homogeneous component of degree $n$ with the additional action of $Sym(n)$ by permuting the positions of the variables, then the algebra of invariants $K\langle X_d\rangle^G$ of every reductive group $G$ is finitely generated. First, we make a short comparison between classical invariant theory of finite groups and its noncommutative counterpart. Then, we expose briefly the results of Wolf. Finally, we present the main result of our …
On The Expansion Of The Multiplicity-Free Plethysms $ P_{2}[S_{(A, B)} ] $ And $ P_{2}[S_{(1^{R}, 2^{T})}] $, Luisa Carini
On The Expansion Of The Multiplicity-Free Plethysms $ P_{2}[S_{(A, B)} ] $ And $ P_{2}[S_{(1^{R}, 2^{T})}] $, Luisa Carini
Turkish Journal of Mathematics
We show how to compute the explicit expansion of the plethysm $ p_{2}[s_{\lambda}]$ of the power symmetric function $ p_{2}$ and the Schur function $ s_{\lambda}$, where $\lambda$ has either two rows or two columns, via the well known Littlewood-Richardson coefficients which occur in the decomposition of $ s^{2}_{\lambda}$.
On Nowicki's Conjecture: A Survey And A New Result, Lucio Centrone, Andre Dushimirimana, Şehmus Findik
On Nowicki's Conjecture: A Survey And A New Result, Lucio Centrone, Andre Dushimirimana, Şehmus Findik
Turkish Journal of Mathematics
The goal of the paper is twofold: it aims to give an extensive set of tools and bibliography towards Nowicki's conjecture both in for polynomial algebras and in an associative setting; it establishes a new result about Nowicki's conjecture for the free metabelian Poisson algebra.
Henselian Discrete Valued Stable Fields, Ivan Chipchakov
Henselian Discrete Valued Stable Fields, Ivan Chipchakov
Turkish Journal of Mathematics
Let $(K, v)$ be a Henselian discrete valued field with residue field $\widehat K$ of characteristic $q \ge 0$, and Brd$_{p}(K)$ be the Brauer $p$-dimension of $K$, for each prime $p$. The present paper shows that if $p = q$, then Brd$_{p}(K) \le 1$ if and only if $\widehat K$ is a $p$-quasilocal field and the degree $[\widehat K\colon \widehat K ^{p}]$ is $\le p$. This complements our earlier result that, in case $p \neq q$, we have Brd$_{p}(K) \le 1$ if and only if $\widehat K$ is $p$-quasilocal and Brd$_{p}(\widehat K) \le 1$.
Bound For The Cocharacters Of The Identities Of Irreducible Representations Of $\Mathfrak{Sl}_2(\Mathbb{C})$, Mátyás Domokos
Bound For The Cocharacters Of The Identities Of Irreducible Representations Of $\Mathfrak{Sl}_2(\Mathbb{C})$, Mátyás Domokos
Turkish Journal of Mathematics
For each irreducible finite dimensional representation of the Lie algebra $\mathfrak{sl}_2(\mathbb{C})$ of $2\times 2$ traceless matrices, an explicit uniform upper bound is given for the multiplicities in the cocharacter sequence of the polynomial identities satisfied by the given representation.
On The Mesyan Conjecture, Pedro Souza Fagundes, Thiago Castilho De Mello, Pedro Henrique Da Silva Dos Santos
On The Mesyan Conjecture, Pedro Souza Fagundes, Thiago Castilho De Mello, Pedro Henrique Da Silva Dos Santos
Turkish Journal of Mathematics
The well-known Lvov--Kaplansky conjecture states that the image of a multilinear polynomial $f$ evaluated on $n\times n$ matrices is a vector space. A weaker version of this conjecture, known as the Mesyan conjecture, states that if $m=\deg f$ and $n\geq m-1$ then its image contains the set of trace zero matrices. Such conjecture has been proved for polynomials of degree $m \leq 4$. The proof of the case $m=4$ contains an error in one of the lemmas. In this paper, we correct the proof of such lemma and present some evidence which allows us to state the Mesyan conjecture for …
$\Mathbb{Z}$-Graded Identities On The Infinite-Dimensional Grassmann Algebra And Arithmetic Tools: Revisited, Claudemir Fidelis
$\Mathbb{Z}$-Graded Identities On The Infinite-Dimensional Grassmann Algebra And Arithmetic Tools: Revisited, Claudemir Fidelis
Turkish Journal of Mathematics
The main purpose of this paper is to provide a survey of results concerning the $\mathbb{Z}$-gradings on the infinite-dimensional Grassmann algebra $E$ over a field of characteristic zero. First, we provide graded identities and central polynomials for $E$ equipped with fine gradings on $E$ by the semigroup $(\mathbb{Z}^\ast,\times)$. We also describe briefly techniques in order to illustrate some important methods to exhibit graded identities and central polynomials of $E$ for other abelian groups. In particular, over a field of characteristic zero, so-called $2$-induced gradings of full support were considered. In order to obtain these descriptions, we strongly use elementary number …
Computing Forgotten Topological Index Of Zero-Divisor Graphs Of Commutative Rings, Ari̇f Gürsoy, Necla Kircali Gürsoy, Alper Ülker
Computing Forgotten Topological Index Of Zero-Divisor Graphs Of Commutative Rings, Ari̇f Gürsoy, Necla Kircali Gürsoy, Alper Ülker
Turkish Journal of Mathematics
The main objective of this paper is to calculate the forgotten topological index of the zero-divisor graph of $\mathbb{Z}_n$. Let $p$, $q$ and $r$ be distinct prime numbers. We calculate the forgotten topological index of the ring $\Gamma(\mathbb{Z}_n)$ where $n=p^\alpha, pq, p^2q, p^2q^2, pqr$. Also, we study the forgotten topological index of the product of rings of integers modulo $n$. We construct a polynomial algorithm to compute the forgotten topological index of $\Gamma(\mathbb{Z}_n)$.
Depth And Stanley Depth Of The Quotient Rings Of Edge Ideals Of Some Lobster Trees And Unicyclic Graphs, Adnan Iqbal, Muhammad Ishaq
Depth And Stanley Depth Of The Quotient Rings Of Edge Ideals Of Some Lobster Trees And Unicyclic Graphs, Adnan Iqbal, Muhammad Ishaq
Turkish Journal of Mathematics
We compute depth and Stanley depth of the quotient rings of the edge ideals associated with different classes of graphs. These classes include some lobster trees and unicyclic graphs. We show that the values of depth and Stanley depth are equal for the classes we considered.
On Central Polynomials And Codimension Growth, Fabrizio Martino
On Central Polynomials And Codimension Growth, Fabrizio Martino
Turkish Journal of Mathematics
Let $A$ be an associative algebra over a field of characteristic zero. A central polynomial is a polynomial of the free associative algebra that takes central values of $A.$ In this survey, we present some recent results about the exponential growth of the central codimension sequence and the proper central codimension sequence in the setting of algebras with involution and algebras graded by a finite group.
Codimensions Of Algebras With Additional Structures, Daniela La Mattina
Codimensions Of Algebras With Additional Structures, Daniela La Mattina
Turkish Journal of Mathematics
Let $A$ be an associative algebra endowed with an automorphism or an antiautomorphism $\varphi$ of order $\leq 2.$ One associates to $A,$ in a natural way, a numerical sequence $c^\varphi_n(A),$ $n=1, 2, \ldots$, called the sequence of $\varphi$-codimensions of $A$ which is the main tool for the quantitative investigation of the polynomial identities satisfied by $A$. In \cite{GLM} it was proved that such a sequence is eventually nondecreasing in case $\varphi$ is an antiautomorphism. Here we prove that it still holds in case $\varphi$ is an automorphism and present some recent results about the asymptotics of $c^\varphi_n(A)$.
On $(A,D)$-Edge Local Antimagic Coloring Number Of Graphs, Rajkumar Sundaramoorthy, Nalliah Moviri Chettiar
On $(A,D)$-Edge Local Antimagic Coloring Number Of Graphs, Rajkumar Sundaramoorthy, Nalliah Moviri Chettiar
Turkish Journal of Mathematics
For any graph $G=(V,E),$ the order and size of G are $p$ and $q$. A bijection $l$ from $V(G)$ to $\{1,2,..,p\}$ is called $(a,d)$-edge local antimagic labeling if for any two adjacent edges are not received the same edge-weight (color) and the set of all edge-weights are formed an arithmetic progression $\{a,a+d,a+2d,\dots,a+(c-1)d\}$, for some integers $a,d>0$ and $c$ is the number of distinct colors used in the proper coloring.} An edge-weight (color) $w(uv)$ is the sum of two end vertices labels, $w(uv)=f(u)+f(v),uv\in E(G).$ The $(a,d)$-edge local antimagic coloring number is the least color (edge-weight) used in any $(a,d)$-edge local …
On $ Mj $-Clean Ring And Strongly $ Mj $-Clean Ring, Gülşen Ulucak, Arda Kör
On $ Mj $-Clean Ring And Strongly $ Mj $-Clean Ring, Gülşen Ulucak, Arda Kör
Turkish Journal of Mathematics
In this paper, we introduce the concepts of $ mj $-clean and strongly $ mj $-clean rings which are generalizations of $ j $-clean ring and strongly $ j $-clean ring, respectively. Let $ R $ be a ring with a nonzero identity and $ m\geq 2 $ a positive integer. We call the ring $ R $ as $ mj $-clean if each element of $ R$ can be written as a sum of an $ m $-potent and an element of $J(R)$ and also if these elements are commute, then we call $R$ as strongly $ mj $-clean …
Distortion Bound And Growth Theorems For A Subclass Of Analytic Functions Defined By $Q$-Derivative, Osman Altintaş, Ni̇zami̇ Mustafa
Distortion Bound And Growth Theorems For A Subclass Of Analytic Functions Defined By $Q$-Derivative, Osman Altintaş, Ni̇zami̇ Mustafa
Turkish Journal of Mathematics
In this study, we introduce and examine a subclasses of analytic and univalent functions defined by $q$-derivative. Here, we give necessary conditions for the functions to belong to these subclasses, and distortion bound and growth theorems for the functions belonging to these classes.
On The Geodesics Of Deformed Sasaki Metric, Nour Elhouda Djaa, Abderrahim Zagane
On The Geodesics Of Deformed Sasaki Metric, Nour Elhouda Djaa, Abderrahim Zagane
Turkish Journal of Mathematics
We define in this note a natural metric over the tangent bundle $TM$ by using a vertical deformation of Sasaki metric. First we present the geometric result concerning the Levi-Civita connection and all forms of Riemannian curvature tensors of this metric. Secondly, we study the geodesics on the tangent bundle $TM$ and unit tangent bundle $T_{1}M$. Finally, we characterize the geodesic curvatures on $T_{1}M$.
Vanishing Ideals Of Parameterized Subgroups In A Toric Variety, Esma Baran Özkan
Vanishing Ideals Of Parameterized Subgroups In A Toric Variety, Esma Baran Özkan
Turkish Journal of Mathematics
Let $K$ be a finite field and $X$ be a complete simplicial toric variety over $K$ with split torus $T_X\cong (K^*)^n$. We give an algorithm relying on elimination theory for finding generators of the vanishing ideal of a subgroup $Y_Q$ parameterized by a matrix $Q$ which can be used to study algebraic geometric codes arising from $Y_Q$. We give a method to compute the lattice $L$ whose ideal $I_L$ is exactly $I(Y_Q)$ under a mild condition. As applications, we give precise descriptions for the lattices corresponding to some special subgroups. We also prove a Nullstellensatz type theorem valid over finite …
Birotational Hypersurface And The Second Laplace-Beltrami Operator In The Four Dimensional Euclidean Space ${\Mathbb{E}}^{4}$, Erhan Güler, Yusuf Yayli, Hasan Hi̇lmi̇ Hacisali̇hoğlu
Birotational Hypersurface And The Second Laplace-Beltrami Operator In The Four Dimensional Euclidean Space ${\Mathbb{E}}^{4}$, Erhan Güler, Yusuf Yayli, Hasan Hi̇lmi̇ Hacisali̇hoğlu
Turkish Journal of Mathematics
We consider the birotational hypersurface $\mathbf{x(}u,v,w\mathbf{)}$ with the second Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb{E}}^{4}.$ We give the $i$-th curvatures of $\mathbf{x}$. In addition, we compute the second Laplace-Beltrami operator of the birotational hypersurface satisfying $\Delta ^{II}\mathbf{x=}\mathcal{A}% \mathbf{x}$ for some $4\times 4$ matrix $\mathcal{A}$.
Hermite-Hadamard-Mercer Type Inclusions For Interval-Valued Functions Via Riemann-Liouville Fractional Integrals, Hasan Kara, Muhammad Aamir Ali, Hüseyi̇n Budak
Hermite-Hadamard-Mercer Type Inclusions For Interval-Valued Functions Via Riemann-Liouville Fractional Integrals, Hasan Kara, Muhammad Aamir Ali, Hüseyi̇n Budak
Turkish Journal of Mathematics
In this research, we first establish some inclusions of fractional Hermite-Hadamard-Mercer type for interval-valued functions. Moreover, by special cases of our main results, we show that our main results reduce several inclusions obtained in the earlier works.
On A Class Of Nonlocal Porous Medium Equations Of Kirchhoff Type, Uğur Sert
On A Class Of Nonlocal Porous Medium Equations Of Kirchhoff Type, Uğur Sert
Turkish Journal of Mathematics
We study the Dirichlet problem for the degenerate parabolic equation of the Kirchhoff type \[ u_{t}-a\left(\ u\ _{L^{p}(\Omega)}^{p}\right)\sum\limits_{i=1}^{n}D_{i}\left( \left\vert u\right\vert ^{p-2}D_{i}u\right) +b\left( x,t,u\right)=f\left( x,t\right) \quad \text{in $Q_T=\Omega \times (0,T)$}, \] where $p\geq2$, $T>0$, $\Omega \subset \mathbb{R}^{n}$, $n\geq 2$, is a smooth bounded domain. The coefficient $a(\cdot)$ is real-valued function defined on $\mathbb{R}_+$ and $b(\cdot,\cdot,\tau)$ is a measurable function with variable nonlinearity in $\tau$. We prove existence of weak solutions of the considered problem under appropriate and general conditions on $a$ and $b$. Sufficient conditions for uniqueness are found and in the case $f\equiv0$ the decay rates for $\ u\ …
Analysis, Processing, And Migration Of The Marine 4-Component Walkaway Vsp Data Set From The Seg Seam-1 Gulf Of Mexico Salt Elastic Modelling Project: Synthetic Study, Cemal Erdemi̇r
Turkish Journal of Earth Sciences
The four component (4C) walkaway vertical seismic profile (WVSP) marine elastic synthetic data set from the SEG's SEAM-1 salt modeling project in the Gulf of Mexico (GOM) are examined, analyzed, processed, and migrated for P-P reflections using a reverse time prestack migration (RTM) algorithm to construct a subsurface image around the Well-1 VSP borehole. The imaging results from the three data sets; pressure-p, geophone vertical (z), and horizontal inline (x) components, have shown great successes in correctly locating and imaging sediments near and below the borehole as well as the vertical face of the salt, which is about 5 km …
Middle-Late Devonian Boundary Conodonts From Anarak And Sar-Ashk Sections, Centraliran, Hossein Gholamalian, Vachik Hairapetian, Mohammad Poosti
Middle-Late Devonian Boundary Conodonts From Anarak And Sar-Ashk Sections, Centraliran, Hossein Gholamalian, Vachik Hairapetian, Mohammad Poosti
Turkish Journal of Earth Sciences
The Middle/Late Devonian boundary is investigated based on twenty-four conodont species and subspecies from the Anarak and Sar-Ashk sections in the northwest and southeast of Central East Iran Microplate. The earliest Frasnian strata are defined by the first appearance of Ancyrodella rotundiloba pristina and can be correlated with the global stratotype in the Montagne Noir, South of France. The Late Givetian - Early Frasnian carbonates of the Bahram Formation in the Sar-Ashk section transgressively overlie the sandstones of the Padeha Formation, whereas the coeval interval in the Anarak section composes the middle part of the Bahram Formation. Conodont biostratigraphy of …
Exploring The Untapped Gas Potential Of Ghazij Shale In Pirkoh Area, Pakistan: Integratedapproach Of Attribute Analysis And Maturity Modeling, Muhammad Raiees Amjad, Sarfraz Khan, Umair Bin Nisar, Urooj Shakir, Khawar Ashfaq Ahmed
Exploring The Untapped Gas Potential Of Ghazij Shale In Pirkoh Area, Pakistan: Integratedapproach Of Attribute Analysis And Maturity Modeling, Muhammad Raiees Amjad, Sarfraz Khan, Umair Bin Nisar, Urooj Shakir, Khawar Ashfaq Ahmed
Turkish Journal of Earth Sciences
A correlative maturity study integrated with seismic attributes for determining the shale gas potential of Ghazij Formation is carried out. Analysis of post-stack seismic attributes has been frequently used to identify areas of high exploration potential within shale resource plays. Seismic and well data have been utilized for the analysis of maturity trends in the shale facies of Ghazij Formation. Total organic carbon content (TOC), burial history, Vitrinite Reflectance (Ro), thermal history and porosity values have been computed at Pirkoh-01 well, which are laterally compared with the maturity results in Bambor and Sui areas. In addition, analysis is carried out …
Tectonic And Structural Characteristics Of Erzurum And Its Surroundings(Eastern Turkey): A Detailed Comparison Between Different Geophysical Parameters, Çağlar Özer, Serkan Öztürk, Eren Pamuk
Tectonic And Structural Characteristics Of Erzurum And Its Surroundings(Eastern Turkey): A Detailed Comparison Between Different Geophysical Parameters, Çağlar Özer, Serkan Öztürk, Eren Pamuk
Turkish Journal of Earth Sciences
The tectonic and structural properties of Erzurum and its surroundings have been investigated by evaluating the seismotectonic b - value, magnetic anomaly, edge detection analysis (total horizontal derivative (THDR) and tilt angle (TA)), Curie Point Depth (CPD), P-wave velocity (Vp), and Vp / Vs (S - wave velocity) ratio and by imaging the regional distributions of these parameters. For this purpose, all parameters have been combined to be able to reveal the new useful results on the study region and are presented for different locations and depths. The Vp values have been accompanied by high Vp / Vs ratios and …
Polymer Based Advanced Recipes For Imidazoles: A Review, Shivnath Patel, Rajendra Patil, Jagdish Chavan, Anil Beldar
Polymer Based Advanced Recipes For Imidazoles: A Review, Shivnath Patel, Rajendra Patil, Jagdish Chavan, Anil Beldar
Turkish Journal of Chemistry
Imidazoles and their scaffold are an extraordinarily essential class of nitrogen bearing azole heterocyclic compounds. They have different place in wide area of organic synthesis, which can be utilized in a variety of applications in diverse fields including agriculture, medicine, polymer and various industries. Numerous methods for synthesis of imidazole derivatives are reported in last few decades. Existing conventional methods are more or less significant and confined due to its time-consuming reactions, high cost of catalyst, extensive methodologies, low yield rate or no reusability respectively. Overcoming to inefficient conventional methods, finding of novel and effective methods of imidazole synthesis becomes …
Synthesis Of Some New Isoxazole Compounds And Their Biological Tyrosinase And Antioxidant Activities, Seda Fandakli
Synthesis Of Some New Isoxazole Compounds And Their Biological Tyrosinase And Antioxidant Activities, Seda Fandakli
Turkish Journal of Chemistry
In this study, 7 new isoxazole compounds (8-14) were synthesized from the cyclization of chalcone compounds (1-7) containing different functional groups with hydroxylamine hydrochloride in alkaline medium. Tyrosinase and antioxidant properties of 8-14 were investigated. IC50 values for the tyrosinase enzyme inhibition of compounds 8, 11, 12, and 13 were varied between 61.47 ± 3.46 and 188.52 ± 5.85, while compounds 9, 10 and 14 did not show any inhibition effect. The antioxidant properties of 8-14 were investigated by DPPH and CUPRAC methods. Compound 12 showed the best DPPH radical scavenging activity (SC50: 40.21 ± 2.71), while 12 and 13 …
Synthesis And In Vitro Α-Glucosidase And Cholinesterases Inhibitory Actions Of Watersolublemetallophthalocyanines Bearing ({6-[3-(Diethylamino)Phenoxy]Hexyl}Oxy Groups, Turgut Keleş, Zekeri̇ya Biyiklioğlu, Di̇dem Akkaya, Arzu Özel, Burak Barut
Synthesis And In Vitro Α-Glucosidase And Cholinesterases Inhibitory Actions Of Watersolublemetallophthalocyanines Bearing ({6-[3-(Diethylamino)Phenoxy]Hexyl}Oxy Groups, Turgut Keleş, Zekeri̇ya Biyiklioğlu, Di̇dem Akkaya, Arzu Özel, Burak Barut
Turkish Journal of Chemistry
In this paper, we have prepared peripherally tetra-({6-[3-(diethylamino)phenoxy]hexyl}oxy substituted cobalt(II), copper(II), manganese(III) phthalocyanines (3, 4, 5) and their water-soluble derivatives (3a, 4a, 5a). Then, in vitro α-glucosidase and cholinesterases inhibitory actions of the water-soluble 3a, 4a, 5a were examined using spectrophotometric methods. 4a had the highest inhibitory effects among the tested compounds against α-glucosidase due to IC50 values. 4a and 5a had 40 fold higher inhibitory effects than the positive control. For cholinesterases, the compounds showed significant inhibitory actions that of galantamine which was used as a positive control. According to the SI value, 3a inhibited acetylcholinesterase enzyme selectively. In …
Ferrihydrite/Ultrasound Activated Peroxymonosulfate For Humic Acid Removal, Hang Yang, Yi Zhang, Shibin Xia
Ferrihydrite/Ultrasound Activated Peroxymonosulfate For Humic Acid Removal, Hang Yang, Yi Zhang, Shibin Xia
Turkish Journal of Chemistry
In this study, ferrihydrite/ultrasound (US) system was used to activate peroxymonosulfate (PMS) to treat humic acid (HA) in artificial aqueous. The physical and chemical properties of ferrihydrite were characterized using SEM, zeta potential, BET, XRD, FTIR, and XPS analysis. A series of experiments were conducted to evaluate the effect of various factor on HA removal, including dosage of ferrihydrite, PMS concentration and pH value. The combination uses of US and ferrihydrite had obvious synergistic effect for HA removal. Under ferrihydrite/US/PMS system, nonthermal effect of US played the main role for HA removal. According to the result of radical quenching experiment, …
Synthesis, Antioxidant Activity, Molecular Docking And Adme Studies Of Novel Pyrrolebenzimidazolederivatives, Fi̇kri̇ye Zengi̇n Karadayi, Rahman Başaran, Mehmet Murat Kişla, Bi̇nay Eke, Zeynep Alagöz
Synthesis, Antioxidant Activity, Molecular Docking And Adme Studies Of Novel Pyrrolebenzimidazolederivatives, Fi̇kri̇ye Zengi̇n Karadayi, Rahman Başaran, Mehmet Murat Kişla, Bi̇nay Eke, Zeynep Alagöz
Turkish Journal of Chemistry
Several 5-(alkylsulfonyl)-1-substituted-2-(1H-pyrrol-2-yl)-1H-benzo[d]imidazole derivatives were synthesized and their antioxidant activities were investigated using lipid peroxidation (LPO) and 7-ethoxyresorufin O-deethylase (EROD) assays. Docking analysis with Human NAD[P]H-Quinone oxidoreductase 1 (NQO1) was also performed to gather thorough information about these compounds that have antioxidant activities. Moreover, their molecular descriptors and ADME properties were calculated using the SwissADME online program. As a result, most of our compounds possessed better affinity and created ample interactions with NQO1. The most potent compound 5j had LP inhibition value of 3.73 nmol/mg/min. Other compounds exhibited moderate activity on LP levels comparing to standard butylated hydroxy toluene (BHT). However, …