Yazar "Karpuz, Eylem Guzel" seçeneğine göre listele

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    Finite Derivation Type for Graph Products of Monoids
    (UNIV NIS, FAC SCI MATH, 2016) Karpuz, Eylem Guzel; Ates, Firat; Cangul, I. Naci; Cevik, A. Sinan
    The aim of this paper is to show that the class of monoids of finite derivation type is closed under graph products.
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    GROBNER-SHIRSHOV BASES OF SOME WEYL GROUPS
    (ROCKY MT MATH CONSORTIUM, 2015) Karpuz, Eylem Guzel; Ates, Firat; Cevik, A. Sinan
    In this paper, we obtain Crobner-Shirshov (non-commutative) bases for the n-extended 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 2-extended affine Weyl group of type A(2)((1,1)) with a generator system of a 2-toroidal sense. It gives a new algorithm for getting normal forms of elements of these groups and hence a new algorithm for solving the word problem in these groups.
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    A NEW EXAMPLE OF STRONGLY pi-INVERSE MONOIDS
    (HACETTEPE UNIV, FAC SCI, 2011) Karpuz, Eylem Guzel; Cevik, Ahmet Sinan
    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 checked for it, in this paper we determine necessary and sufficient conditions for this new version to be strongly pi-inverse, and then give some results.
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    A new graph based on the semi-direct product of some monoids
    (SPRINGER INTERNATIONAL PUBLISHING AG, 2013) Karpuz, Eylem Guzel; Das, Kinkar Chandra; Cangul, Ismail Naci; Cevik, Ahmet Sinan
    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, maximum and minimum degrees, girth, degree sequence and irregularity index, domination number, chromatic number, clique number of Gamma (P-M). Since graph theoretical studies (including such above graph parameters) consist of some fixed point techniques, they have been applied in fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory and physics.
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    A new semigroup obtained via known ones
    (WORLD SCIENTIFIC PUBL CO PTE LTD, 2019) Ozalan, Nurten Urlu; Cevik, A. Sinan; Karpuz, Eylem Guzel
    The goal of this paper is to establish a new class of semigroups based on both Rees matrix and completely 0-simple semigroups. We further present some fundamental properties and finiteness conditions for this new semigroup structure.
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    A presentation and some finiteness conditions for a new version of the Schiitzenberger product of monoids
    (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2016) Karpuz, Eylem Guzel; Ates, Firat; Cevik, Ahmet Sinan; Cangul, Ismail Naci
    In this paper we first define a new version of the Schutzenberger product for any two monoids A and B, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result. In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.
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    Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids
    (SPRINGER INTERNATIONAL PUBLISHING AG, 2013) Karpuz, Eylem Guzel; Cevik, Ahmet Sinan; Koppitz, Joerg; Cangul, Ismail Naci
    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 pi-inverse. These semigroup classes have applications in various field of mathematics, such as matrix theory, discrete mathematics and p-adic analysis (especially in operator theory). In addition, while regularity and coregularity have so many applications in the meaning of boundaries (again in operator theory), inverse monoids and Bruck-Reilly extensions contain a mixture fixed-point results of algebra, topology and geometry within the purposes of this journal.