Physical Sciences and Mathematics Commons^™

Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith

Turkish Journal of Mathematics

We have proved that, for the 3-step Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 3, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step Fibonacci sequence in the field GF(p).

About Some Normal Subgroups Of Hecke Groups, İsmail Naci Cangül

Turkish Journal of Mathematics

In this work we study the suucture of some special normal subgroups of Hecke groups. Particwarly those of genus O and 1 are studied by means of the regwar map theory which has been a growing subject in recent years. As a nice application, we calcwate the total number of genus 1 normal subgroups for a given index.

The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar

Turkish Journal of Mathematics

In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on \lambda -distance. In this paper we establish analogues of the well known Hardy-Littlewood-Sobolev inequality (see[3]) for Riesz potentials with non-isotropic kernel depended on \lambda distance. Note that different problems for convolution type integrals with kernels, depending on \lambda-distance were considered in [1] and [2].

Near Ultrafilters And Compactification Of Topological Groups, Mahmut Koçak, Zekeriya Arvasi̇

Turkish Journal of Mathematics

No abstract provided.

Locally Topological Groupoids, Osman Mucuk

Turkish Journal of Mathematics

The notion of Iocally topological groupoid was introduced by Aof and Brown in [2]. On the other hand in [6] by Mackenzie a topological groupoid MG, called monodromy groupoid, is constructed. In this paper we prove that this groupoid MG gives a Iocally topological groupoid.

Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun

Turkish Journal of Mathematics

A convolution semigroup plays an important role İn the theory of probability measure on Lie groups. The basic problem is that one wants to express a semigroup as a Lévy-Khinckine formula. If (\mu_t)_{t\epsilonR*_+} is a continuous semigroup of probability + measures on a Hilbert-Lie group G, then we define T{\mu_t}f:=\integral f_a\mu_t(da) (f\epsilonC_u(G),t>0 It is apparent that (\mu_t)_t{t\epsilonR*_+} is a contİnuous operator semigroup on the space + C_u ( G) with the İnfinitesimal generator N. The generatİng functional A of this semigroup is defined by Aƒ := Iim_t-->0 1/t(T_{\mu_t}f(e) - f(e). We have the problem of consliuction of a …

On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse

Turkish Journal of Mathematics

In this paper, the concepts concerning the space curves of constant breadth were extended to E^4 -space. The integral of third curvature of the curve was obtained as (bak) \sigmads = 2k7\pi(k E Z) . In addition, the relation (bak) g(\kappa, \tau, \sigma)ds = O was obtained between the curvatures of curves of constant breadth in E^4 . Key words and phrases: Curvature, Constant Breadth, Integral characterization of Curve, Spherical Curves.

Painlevé Analysis And Infinite Lie Symmetries Of The Complex Modified Korteweg-De Vries-Ii Equation, Abulgassim Ali Muhammad, Mehmet Can

Turkish Journal of Mathematics

The Painleve analysis developed by Weiss et al. [9] for nonlinear partial differential equations is applied to the CMKdV-II equation. It has been shown that this equation passes the Painleve test. By specializing the arbitrary functions that appear in the phi series expansions found in the test, one obtains a system of partial differential equations for the formally arbitrary data. For specific systems, and conjectured in general, these equations are integrable. The form of the resulting reduction enables the identification of integrable reductions of the original systems. Assuming u_i = \upsilon_i = 0, i >= 2 we obtain conditions to …

Certain Meromorphically Starlike Functions With Positive And Fixed Second Coefficients, M. K. Aouf, H. E. Darwish

Turkish Journal of Mathematics

In this paper we consider the class \SigmaS*{_o,c} ( \alpha ) consisting of meromorphically starlike univalent functions with positive coefficients and fixed second coefficients. The object of the present paper is to show coefficient estimates and closure theorems for this class. Also, we obtain the radius of convexity for functions belonging to the class \SigmaS*{_o,c} ( \alpha ).

Characterization Of Some Rings By Functor Z*(.), Ayşe Çiğdem Özcan, Abdullah Harmanci

Turkish Journal of Mathematics

Let X = {M : Z*(M) = 0} and X* = {M : Q ]]] Keywords:

Arithmetic Of A Semigroup Of Series In Legendre Functions Of The Second Kind, I. P. Il'inskaja

Turkish Journal of Mathematics

In the framework of D. Kendall's theory of Delphic semigroups, a semigroup of series in Legendre functions of the second kind is studied. The basic factorization theorems are prowed, the classes of infinitely divisible elements and of elements without indecomposable factors are completely described, the density of the class of indecomposable elements is established.

The Hessian Tensor On A Hypersurface In Euclidean Space And Otsuki's Lemma, Erdal Gül

Turkish Journal of Mathematics

The purpose of this paper is to obtain a condition for a hypersurface in Euclidean space with belongs to Hessian Tensor and is to give an alternative proof of Otsuki's lemma by applying this condition.

Integral Closure Of An Ideal Relative To A Module And \Delta-Closure, Yücel Tiraş

Turkish Journal of Mathematics

The aim in this paper is to give the relation between the \Delta-closure of an ideal I in a commutative Noetherian ring R, (see [3]), and the integral closure of the ideal i relative to a Noetherian R-module (see (1.1). Definition) and to give the closure cancellation law

On A Certain Family Of Linear Positive Operators, Ogün Doğru

Turkish Journal of Mathematics

In this study, a family of linear positive operators, which includes the sequence of linear positive operators built in a paper of A. D. Gadjiev and I. I. Ibragimov and later investigated by B. Wood and P. Radatz, is defined and using the some inequalities proved by P. J. Davis, results related to approximation properties of this family are obtained.

Unique Factorisation For Commutative Rings Without Identity, A. G. Ağargün, C.R. Fletcher

Turkish Journal of Mathematics

This paper concerns the unique factorisation property in commutative rings not necessarily with identity. We give a new definition of irreducibility and associates in a commutative ring with 1 (crwl), and define a UFR R in terms of a monomorphism from R into a crwl. This becomes equivalent to the definition in [3] when R has an identity. We generalize results on direct sums and direct summands. By our definition we have new members of the family of UFR's.

Some Commutativity Properties For Rings With Unity, Hamza A.S. Abujabal

Turkish Journal of Mathematics

In this paper, we prove the commutativity of a ring R with unity satisfying one of the following ring properties: (P_1) For each x, y in R, {1- h(yx^r)}[x,yx^r - f(yx^r)]{1-g(yx^r)}=0 for some (P_2) Given x, y in R, {1- h(yx^r)} [x,yx^r - f(x^ry)] {1-g(yx^r)}=0 and {1-~h(xy^r)}[y,y^rx-~f(xy^r)]{1-~g(xy^r)}=0 for some f(X),~f(X)\epsilonX^2Z[X] and g(X), ~g(X), h(X), ~h(X)\epsilonXZ[X]. (P_3) For each x, y \epsilon R, [x, yx^r - x^sf(y)x^t]=0 for some f(X)\epsilon X^2Z[X].

On Existence Of A Meromorphic Function With Infinitely Many Of Deficient Functions, Halil Ardahan

Turkish Journal of Mathematics

Let {a_n(z) : {a_n(z)}_n^w, 0 do not depend on r,0

On Hill's Equation With Piecewise Constant Coefficient, I. Yaslan, G.Sh. Guseinov

Turkish Journal of Mathematics

In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corollary the asymptotic formula for the lengths of the instability intervals of Hill's equation is derived and it is shown that they increase beyond all bounds. Also, the conditions for coexistence of periodic and semi-periodic solutions are indicated.

A Characterization Of ^-Nc P-Groups, Ali Osman Asar

Turkish Journal of Mathematics

In this work, presented is a partial characterization of a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov.

Quotients Of Real Algebraic Sets Via Finite Groups, Yıldıray Ozan

Turkish Journal of Mathematics

In this paper, we will study finite algebraic group actions on real algebraic sets and compare the topological quotient X/G with the algebraic quotient X/ /G. We will give a different and shorter proof of a result of Procesi and Schwarz, stating that if the order of the group G, acting algebraically on a real algebraic set X, is odd then X/G is equal to X/ /G. In the case of even order groups, we will a give sufficient condition ( and a necessary condition in the case G = Z_2 ) for the X / G to be equal …

Locally Nilpotent P-Groups Whose Proper Subgroups Are Nc-Groups, A.O. Asar, A. Yalincaklioğlu

Turkish Journal of Mathematics

Let G be a locally nilpotent p-group in which every proper subgroup is an NC-group. It is shown that G is itself an NC-group if either (i) the normal closure of every finite subgroup of G is a Chernikov extension of a CC-group or (ii) every proper normal subgroup of G is the union of an ascending chain of normal CCsubgroups.

Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda

Turkish Journal of Mathematics

Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.

On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin

Turkish Journal of Mathematics

In this paper, we determine high order Riesz transformations by using generalized shift operators and giving some of their properties.

Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇

Turkish Journal of Mathematics

In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.

Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu

Turkish Journal of Mathematics

We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices H : H \cap H^g (g \in G) have a finite upper bound.

A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili

Turkish Journal of Mathematics

Let \Pi be a finite projective plane of order n and \cal be a set, \cal = m, of any lines of \Pi which contains three non-concurrent lines. Consider the hyperbolic plane \Pi_m obtained from \Pi by removing all lines (including all points on them) of \cal. In this paper, we obtain larger values than the known maximum value of m and determine the linne classes of some hyperbolic planes of type \Pi_m. Furthermore we give an answer to a question in Bumcrot [1] about hyperbolic planes containing two-point liens.

Orbit Structure Of Finite And Reductive Monoids, Zhuo Li

Digitized Theses

A reductive monoid is an algebraic monoid with a reductive unit group. We introduce a new class of reductive monoids, $({\cal T}, \sigma)$-irreducible monoids. Generally, we have the question of finding the orbits of the unit group of a reductive monoid acting on both sides of the monoid. Putcha and Renner give a recipe to determine the orbits for ${\cal T}$-irreducible monoids. Motivated by their construction of finite reductive monoids, the concept of (${\cal T}, \sigma)$-irreducible monoid arises naturally.

We obtain that the ${\cal T}$-irreducible monoids turn out to be a special class of the $({\cal T}, \sigma)$-irreducible monoids. We …

Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green

Theses Digitization Project

No abstract provided.

Controlling Curvature In The Minkowski Plane, Mostafa Ghandehari

Mathematics Technical Papers

Pontryagin's maximum principle is used to find the curve of shortest length with bounded Minkowskian curvature passing through two points with given initial and terminal tangents.

Estimating Transition Probabilities From Aggregate Samples Augmented By Haphazard Recaptures Ii. The Case Of Covariates., Chien-Pai Han, D. L. Hawkins

Mathematics Technical Papers

The paper extends the authors' earlier methods for estimating transition probabilities, by combining aggregate and haphazard recapture data, to the case of categorical covariates. Both fixed and time-dependent covariates are considered. A two-stage estimation procedure is proposed. The first stage uses a Markov model to estimate multivariate transition probabilities for the response and all covariates. The second stage uses the Stage 1 estimates to model covariate effects. The required number of sampling waves depends only on the number of response levels and time-dependent covariate levels — and not on the number of fixed covariate levels. Recommendations are given for the …