Yazar "Karpuz E.G." seçeneğine göre listele

Listeleniyor 1 - 5 / 5
  • Küçük Resim Yok
    Öğe
    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.
  • Küçük Resim Yok
    Öğe
    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.
  • Küçük Resim Yok
    Öğe
    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.
  • Küçük Resim Yok
    Öğe
    On commutator and power subgroups of some Coxeter groups
    (Natural Sciences Publishing Co., 2016) Ates F.; Cangul I.N.; Cetinalp E.K.; Cevik A.S.; Karpuz E.G.
    In this paper the commutator subgroups of the affine Weyl group of type Cn-1 (n ? 3) and the triangle Coxeter groups are studied. Also it is given all power subgroups of the affine Weyl group of type Ãn-1 (n ? 3). We should note that, as in our knowledge, although the concept of this study seems in pure mathematics, it is known that affine Weyl groups have a direct relationship between discrete dynamical systems and Painlevé equations (cf. [16]). © 2016 NSP.
  • Küçük Resim Yok
    Öğe
    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.