Browsing by Author "Karpuz, Eylem Güzel"
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Complete rewriting system and growth series for extended generalized hecke groups
Çetinalp, Esra Kırmızı; Karpuz, Eylem Güzel; Şahin, Recep; Ateş, Fırat (Islamic Azad Univ, 2019)In this paper, we obtain a complete rewriting system for monoid presentation of generalized extended Hecke group (H) over bar (p,q), which is firstly defined in [8]. It gives an algorithm for getting normal form of elements ... 
Complete rewriting system for the Chinese monoid
Karpuz, Eylem Güzel (2010)In this paper we are interested in the Chinese monoid and show that the Chinese monoid has complete rewriting system. 
Conjugacy for free groups under split extensions
Çevik, Ahmet Sinan; Karpuz, Eylem Güzel; Ateş, Fırat (Amer Inst 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 ... 
Determination of genus of normal subgroups of discrete groups
Cangül, İsmail Naci; Demirci, Musa; Yurttaş, Aysun; Karpuz, Eylem Güzel; Ateş, Fırat (Amer Inst Physics, 2010)In this work, subgroups of a special class of discrete subgroups of PLS(2, R), namely the ones of the first kind with genus 0, have been studied. We establish a technique to compute the genus of these subgroups in terms ... 
The efficiency of the semidirect products of free abelian monoid with rank n by the ınfinite cyclic monoid
Ateş, Fırat; Karpuz, Eylem Güzel; Çevik, Ahmet Sinan (Amer Inst Physics, 2011)In this paper we give necessary and sufficient conditions for the efficiency of the semidirect product of free abelian monoid with rank n by the infinite cyclic monoid. 
Finite derivation type for graph products of monoids
Karpuz, Eylem Güzel; Ateş, Fırat; Cangül, İsmail Naci; Çevik, Ahmet Sinan (Univ Nis, 2016)The aim of this paper is to show that the class of monoids of finite derivation type is closed under graph products. 
Finite derivation type property on the chinese monoid
Karpuz, Eylem Güzel (2010)Squier introduced the notion finite derivation type which is a combinatorial condition satisfied by certain rewriting systems. The main result in this paper states that the Chinese monoid has finite derivation type property. 
Generalization for estrada index
Güngör, Ayşe Dilek; Çevik, Ahmet Sinan; Karpuz, Eylem Güzel; Ateş, Fırat; Cangül, İsmail Naci (Amer Inst Physics, 2010)In this paper the Estrada index of Hermite matrix is firstly defined and investigated. In fact this is a natural generalization of Estrada, distance Estrada and Laplacian Estrada indices. Thus all properties about them can ... 
Generalized BruckReilly *extension as a new example of a monoid with a nonfinitely generated group of units
Karpuz, Eylem Güzel (2010)We present a new example of a #8230;nitely presented monoid, namely BruckReilly extension of generalized BruckReilly *extension of free group with in #8230;nite rank, the group of units of which is not #8230;nitely generated. 
Geometrik metotlar altında kelime problemi ve sonuçları
Karpuz, Eylem Güzel (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2009)Bu tez birinci bölüm olan giriş kısmı dışında altı bölümden oluşmaktadır. İkinci bölümde, grup, monoid ve yarı grupların sunuşları ile ilgili hatırlatmalar yapılmış ve karar verme problemlerinden olan kelime problemi ... 
The graph based on GröbnerShirshov bases of groups
Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, Ahmet Sinan; Cangül, İsmail Naci (Springer, 2013)Let us consider groups G(1) = Z(k) * (Z(m) * Z(n)), G(2) = Z(k) x (Z(m) * Z(n)), G(3) = Z(k) * (Z(m) x Z(n)), G(4) = (Z(k) * Z(l)) * (Z(m) * Z(n)) and G(5) = (Z(k) * Z(l)) x (Z(m) * Z(n)), where k, l, m, n = 2. In this ... 
Grobnershirshov bases and embedding of a semigroup in a group
Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, Ahmet Sinan; Koppitz, Jorg (Jangjeon Mathematical Society, 2015)The main goal of this paper is to show that if a group G has a GrobnerShirshov basis R that satisfies the condition R+, then the semigroup P (with positive rules in R as a defining relation) embeds in this group G. As a ... 
Grobnershirshov bases of some weyl groups
Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, Sinan (Rocky Mt Math Consortium, 2015)In this paper, we obtain CrobnerShirshov (noncommutative) bases for the nextended affine Weyl group (W) over tilde of type A(1), elliptic Weyl groups of types A(1)((1,1)) A(1)((1,1))* and the 2extended affine Weyl group ... 
Grobnershirshov bases of the generalized bruckreilly *extension
Kocapınar, Canan; Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, Ahmet Sinan (World Scientific Publ Co Pte Ltd, 2012)In this paper we first define a presentation for the generalized BruckReilly *extension of a monoid and then we work on its GrobnerShirshov bases. 
Grobnershirshov basis for the singular part of the brauer semigroup
Ateş, Fırat; Çevik, Ahmet Sinan; Karpuz, Eylem Güzel (Scientific Technical Research Council TurkeyTubitak, 2018)In this paper, we obtain a GrobnerShirshov (noncommutative Grobner) basis for the singular part of the Brauer semigroup. It gives an algorithm for getting normal forms and hence an algorithm for solving the word problem ... 
A new example for minimality of monoids
By considering the split extension of a free abelian monoid having finite rank by a finite monogenic monoid, the main purposes of this paper are to present examples of efficient monoids and, also, minimal but inefficient ... 
A new example of deficiency one groups
Çevik, Ahmet Sinan; Güngör, A. Dilek; Karpuz, Eylem Güzel; Ateş, Fırat; Cangül, İsmail Naci (Amer Inst Physics, 2010)The main purpose of this paper is to present a new example of deficiency one groups by considering the split extension of a finite cyclic group by a free abelian group having rank two. 
A new example of strongly piinverse monoids
Karpuz, Eylem Güzel; Çevik, Ahmet Sinan (Hacettepe Univ., 2011)In [1], Ate defined the semidirect product version of the Schutzenberger product for any two monoids, and examined its regularity. Since this is a new product and there are so many algebraic properties that need to be ... 
The next step of the word problem over monoids
Karpuz, Eylem Güzel; Ateş, Fırat; Çevik, Ahmet Sinan; Cangül, İsmail Naci; Maden, Ayşe Dilek (Elsevier Science Inc, 2011)It is known that a group presentation P can be regarded as a 2complex with a single 0cell. Thus we can consider a 3complex with a single 0cell which is known as a 3presentation. Similarly, we can also consider ... 
A note on the grobnershirshov bases over adhoc extensions of groups
Karpuz, Eylem Güzel; Ateş, Fırat; Urlu, Nurten; Çevik, Ahmet Sinan; Cangül, İsmail Naci (Univ Nis, 2016)The main goal of this paper is to obtain (noncommutative) GrobnerShirshov bases for monoid presentations of the knit product of cyclic groups and the iterated semidirect product of free groups. Each of the results here ...