Matematik Bölümü

Güncel Gönderiler

  • Karpuz, E.G.; Çevik, A.S. (2012)
    The purpose of this paper is to determine some forms of the relations m a finite semigroup presentation with zero deficiency which have solvable word problem via Adian graphs.
  • Kocapınar, Canan; Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, A. Sinan (2012)
    In this paper we first define a presentation for the generalized Bruck-Reilly -extension of a monoid and then we work on its Gröbner-Shirshov bases.
  • Karpuz, Eylem Güzel; Çevik, A. Sinan (2011)
    In this paper we investigate solvability of the word problem for Extended Modular groups, Extended Hecke groups and Picard groups in terms of complete rewriting systems. At the final part of the paper we examine the other ...
  • Karpuz, E.G.; Çevik, A.S. (Pleiades Publishing, 2012)
    In this paper, Gro¨ bner–Shirshov bases (noncommutative) for extended modular, ex tended Hecke and Picard groups are considered. A new algorithm for obtaining normal forms of elements and hence solving the word problem ...
  • Ateş, Fırat; Karpuz, Eylem G.; Çevik, Sinan (American Institute of Physics, 2011)
    In this paper we give necessary and sufficient conditions for the efficiency of the semi-direct product of free abelian monoid with rank n by the infinite cyclic monoid.
  • Çevik, A. Sinan; Karpuz, Eylem G.; Ateş, Fırat (American Institute of Physics, 2011)
    At the present paper we show that conjugacy is preserved and reflected by the natural homomorphism defined from a semigroup S to a group G, where G defines split extensions of some free groups. The main idea in the proofs ...
  • Karpuz, Eylem G.; Ateş, Fırat (2010)
    In this paper we give a partial answer to the problem which is about the regularity of Schützenberger product in semigroups asked by Gallagher in his thesis [4, Problem 6.1.6]. Furthermore, we determine necessary and ...
  • Karpuz, Eylem Güzel; Çevik, Ahmet Sinan; Koppitz, Jörg; Cangül, İsmail Naci (Springer, 2013)
    In this paper, we determine necessary and sufficient conditions for Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of arbitrary monoids to be regular, coregular and strongly π-inverse. These semigroup classes ...
  • Karpuz, Eylem Güzel; Das, Kinkar Chandra; Cangül, İsmail Naci; Çevik, Ahmet Sinan (Springer, 2013)
    In this paper, firstly, we define a new graph based on the semi-direct product of a free abelian monoid of rank n by a finite cyclic monoid, and then discuss some graph properties on this new graph, namely diameter, ...
  • Karpuz, Eylem G.; Ateş, Fırat; Çevik, A. Sinan; Cangül, Naci (Springer, 2013)
    Let us consider groups G1 = Zk ∗ (Zm ∗ Zn), G2 = Zk ×(Zm ∗ Zn), G3 = Zk ∗ (Zm ×Zn), G4 = (Zk ∗ Zl) ∗ (Zm ∗ Zn) and G5 = (Zk ∗ Zl)×(Zm ∗ Zn), where k, l,m, n ≥ 2. In this paper, by defining a new graph (Gi) based on the ...
  • Karpuz, E. Güzel; Ateş, Fırat; Çevik, A. Sinan; Cangül, İ. Naci; Maden Güngör, A. Dilek (Elsevier, 2011)
    It is known that a group presentation P can be regarded as a 2-complex with a single 0-cell. Thus we can consider a 3-complex with a single 0-cell which is known as a 3-presentation. Similarly, we can also consider ...
  • Ateş, Fırat; Karpuz, Eylem G.; Kocapınar, Canan; Çevik, A. Sinan (Elsevier, 2011)
    The main goal of this paper is to define Gröbner–Shirshov bases for some monoids. Therefore, after giving some preliminary material, we first give Gröbner–Shirshov bases for graphs and Schützenberger products of monoids ...
  • Arı, Kamil; Görgülü, Merve (2012)
    In this paper, torsion-free part of U1(ZCs) is characterized by using a different description. That is, unlike the previous works, a classical ring and number theory is used in this characterization.
  • Yılmaz, Cengiz; Çabuk, Hasan Altan; Ergülen, Ahmet; Korkmaz, Adil; Çağlar, Atalay; Güler, Ebru Özgür; Çankal, Erhan; Kıral, Ersin; Kıral, Gülsen; Arı, Kamil; Güler, Hüseyin; Keskin, Rıdvan (Lisans Yayıncılık, 2011)
  • Bolat, Cennet; İpek, Ahmet (Elsevier, 2014)
    It is known that linear matrix equations have been one of the main topics in matrix theory and its applications. The primary work in the investigation of a matrix equation (system) is to give solvability conditions and ...
  • Bolat, Cennet; İpek, Ahmet (2014)
    Some complex quaternionic equations in the type AX-XB= C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. ...
  • İpek, Ahmet; Arı, Kamil (Elsevier, 2014)
    In this paper, we establish several new connections between the generalizations of Fibonacci and Lucas sequences and Hessenberg determinants. We also give an interesting conjecture related to the determinant of an infinite ...
  • Bolat, Cennet; İpek, Ahmet (2014)
    The main concerns of this paper are the linear equations with one term and one unknown of the forms: a(xa) =r, a(xb ) = r and (ax)b =r, and the linear equations with two terms and one unknown of the forms: (ax)b +(g x)d ...
  • Abdioĝlu, C.; Koşan, M.T.; Şahinkaya, S. (Southeast Asian Bulletin of Mathematics, 2010)
    The notion of projection invariant subgroups was first introduced by Fuchs in [7]. We will define the module-theoretic version of the projection invariant subgroup. Let R be a ring and M a right R-module. We call a ...
  • Abdioĝlu, Cihad; Khashyarmanesh, Kazem; Koşan, Tamer (Quaestiones Mathematicae, 2011)
    Let R be a commutative Noetherian ring with non-zero identity and a an ideal of R. In the present paper, we examine the question whether the support of Hn a (N;M) must be closed in Zariski topology, where Hn a (N;M) ...

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