Yazar "Çevik A.S." seçeneğine göre listele

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    Grobner-Shirshov bases and embedding of a semigroup in a group
    (Jangjeon Mathematical Society, 2015) Karpuz E.G.; Ateş F.; Çevik A.S.; Koppitz J.
    The main goal of this paper is to show that if a group G has a Grobner-Shirshov 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 consequence of our result, we obtain that the semigroup B+n+1 of braids can be embedded in the braid group.
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    A new example for minimality of monoids
    (2010) Ateş F.; Karpuz E.G.; Güngör A.D.; Çevik A.S.
    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 monoids. Although results presented in this paper seem as in the branch of pure mathematics, they are actually related to applications of Combinatorial and Geometric Group-Semigroup Theory, especially computer science, network systems, cryptography and physics etc., which will not be handled here. © 2010 World Scientific Publishing Company.
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    A new example of strongly ?-inverse monoids
    (Hacettepe University, 2011) Karpuz E.G.; Çevik A.S.
    In [1], Ateş defined the semidirect product version of the Schützenberger 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 ?-inverse, and then give some results.
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    Primes in Z[exp(2?i/3)]
    (2010) Namlí D.; Naci Cangül I.; Çevik A.S.; Güngör A.D.; Tekcan A.
    In this paper, we study the primes in the ring Z[w], where w=exp(2?i/3) is a cubic root of unity. We gave a classification of them and some results related to the use of them in the calculation of cubic residues are obtained. © 2010 American Institute of Physics.
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    Rewriting as a special case of noncommutative Gröbner bases theory for the affine weyl group Ãn
    (Springer International Publishing, 2010) Çevik A.S.; Özel C.; Karpuz E.G.
    The aim of this work is to find Gröbner-Shirshov bases of the affine Weyl group of type Ãn (n ? 2) from the point of complete rewriting systems. © 2010 Springer Basel AG.