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Full-Text Articles in Physical Sciences and Mathematics

Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak Jan 1998

Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak

Turkish Journal of Mathematics

A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.


Crossed N-Cubes And N-Crossed Complexes Of Commutative Algebras, Z. Arvasi̇, M. Koçak Jan 1998

Crossed N-Cubes And N-Crossed Complexes Of Commutative Algebras, Z. Arvasi̇, M. Koçak

Turkish Journal of Mathematics

In this paper we will define crossed $\Bbb N$-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.


On Certain Varieties Of Semigroups, A. Tiefenbach Jan 1998

On Certain Varieties Of Semigroups, A. Tiefenbach

Turkish Journal of Mathematics

In this paper we generalize the class of completely regular semigroups (unions of groups) to the class of local monoids, that is the class of all semigroups where the local subsemigroups \( aSa \) are local submonoids. The sublattice of this variety \( (\mathbf{L}(\caL(\cam)) \) covers another lattice isomorphic to the lattice of all bands \( ([x^2 = x]). \) Every bundvariety \( \cau \) has as image the variety \( \Phi - \cau, \) which is the class of all semigroups, where \( \Phi \) is a \( \cau \)-congruence \( (a \Phi b \Leftrightarrow aSa = bSb). \) …


Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson Jan 1998

Locally Volume-Minimizing Codimension-One Foliation Of The Solid Torus, İ. Kocayusufoğlu, D. L. Jhonson

Turkish Journal of Mathematics

The aim of this paper is to construct a specific codimension-1 foliation of \( D^2 \times S^1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.


Codes On Superelliptic Curves, F. Özbudak, M. Glukhov Jan 1998

Codes On Superelliptic Curves, F. Özbudak, M. Glukhov

Turkish Journal of Mathematics

The purpose of this paper is to apply superelliptic curves with a lot of rational points to construct rather good geometric Goppa codes.


Dynamical System Topology Preserved In The Presence Of Noise, Judy A. Kennedy, James A. Yorke Jan 1998

Dynamical System Topology Preserved In The Presence Of Noise, Judy A. Kennedy, James A. Yorke

Turkish Journal of Mathematics

We first give a precise definition of the terms ``topological horseshoe'' and ``generalized quadrilateral'' and then examine the behavior of a homeomorphism F on a locally compact, separable, locally connected metric space X (X is usually a manifold in applications) such that F restricted to some generalized quadrilateral Q in X is a topological horseshoe map. For a set Q \subset X we define and describe (1) the permanent set Z of Q to be \{x\in X:F^n(x)\in Q for all integers n\}, and (2) the entrainment set of Q to be E(Q)=\{x\in X: F^{-n} (x)\in Q for all sufficiently large …


On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue Jan 1998

On 3 Dimensional Isotropic Submaniolds Of A Space From, Takehiro Itoh, Koichi Ogiue

Turkish Journal of Mathematics

We study 3-dimensional isotropic submanifolds of a space form with low-dimensional first normal space


On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann Jan 1998

On Derived Equivalences And Local Structure Of Blocks Of Finite Groups, Markus Linckelmann

Turkish Journal of Mathematics

No abstract provided.


From Simplicial Groups To Crossed Complexes, Z. Arvasi̇ Jan 1998

From Simplicial Groups To Crossed Complexes, Z. Arvasi̇

Turkish Journal of Mathematics

In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.


On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez Jan 1998

On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez

Turkish Journal of Mathematics

We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.


A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp Jan 1998

A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp

Turkish Journal of Mathematics

In this paper, we will give a description of the functor from the category of crossed $n$-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on $n$-types of simplicial groups.


Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott Jan 1997

Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott

Turkish Journal of Mathematics

No abstract provided.


Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev Jan 1997

Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev

Turkish Journal of Mathematics

No abstract provided.


Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak Jan 1997

Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak

Turkish Journal of Mathematics

We show that there are no nontrivial solutions of the Seiberg-Witten equations on R^8 with constant standard {spin}^c structure.


Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu Jan 1997

Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu

Turkish Journal of Mathematics

In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.


On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin Jan 1997

On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin

Turkish Journal of Mathematics

In this paper, we proved some results for one-sided (\sigma, \tau)-Lie ideals in prime rings.


On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç Jan 1997

On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç

Turkish Journal of Mathematics

This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil \lambda^2C - \lambdaR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a ,, tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. Kev Words: Quadratic pencijs, eigenvalues, eigenvectors.


The Paper On The Matrix Valued Time Series, M. Tuncay Gençoğlu Jan 1997

The Paper On The Matrix Valued Time Series, M. Tuncay Gençoğlu

Turkish Journal of Mathematics

In this paper, random series oscillatory were examine in matrix valued time series. This series' calculated correlation coefficient between elements. Positive serial correlation coefficient between terms examined relation.


Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan Jan 1997

Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan

Turkish Journal of Mathematics

No abstract provided.


Algorithms To Disprove The Poincare Conjecture, Colin Rourke Jan 1997

Algorithms To Disprove The Poincare Conjecture, Colin Rourke

Turkish Journal of Mathematics

No abstract provided.


Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar Jan 1997

Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar

Turkish Journal of Mathematics

Let G be a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov. It is shown that in G/Z(G) every proper subgroup is a Chernikov extension of a nilpotent subgroup Of finite exponent (Theorem 1). This resut is then used to give a characterization of G if, in addition, it satisfies the normalizer condition (Theorem 2).


On Irreducible Simply-Connected 4-Manifolds, Zoltan Szabo Jan 1997

On Irreducible Simply-Connected 4-Manifolds, Zoltan Szabo

Turkish Journal of Mathematics

No abstract provided.


Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici Jan 1997

Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici

Turkish Journal of Mathematics

In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.


Complex Conjugation Equivariant Topology Of Complex Surfaces, Sergey Finashin Jan 1997

Complex Conjugation Equivariant Topology Of Complex Surfaces, Sergey Finashin

Turkish Journal of Mathematics

Suppose X is a non-singular complex surface defined over \R, which is a complete intersection constructed by the method of a small perturbation, and Y=X/\conj is its quotient by the complex conjugation \conj\: X\to X. Assume that \conj has a fixed point. Then Y is completely decomposable, i.e., splits into a connected sum \#_n \Cp^2\#_m\barCP^2 or \#_n(S^2\!\times\! S^2).


A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin Jan 1997

A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin

Turkish Journal of Mathematics

Consider the self-intersection number [\Sigma].[\Sigma] of a 2-dimensional sphere \Sigma embedded into a K3 surface. Since a K3 surface is spin, [\Sigma].[\Sigma] is even and by Gauge theoretical arguments [\Sigma].[\Sigma]\le 0. No other restriction on [\Sigma].[\Sigma] is known. It is a problem 4.105(D) from the Kirby list \cite{K} to determine the possible values of [\Sigma].[\Sigma]. This paper shows that the even numbers between 0 and -86 do appear as [\Sigma].[\Sigma].


Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith Jan 1997

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 Jan 1997

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 Jan 1997

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 Jan 1997

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

Turkish Journal of Mathematics

No abstract provided.


Locally Topological Groupoids, Osman Mucuk Jan 1997

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.