Browsing by Author "Esin, Songül"
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Annihilators of principal ideals in the exterior algebra
Koç, Cemal; Esin, Songül (Mathematical Society of the Republic of China, 2007)In this paper we describe annihilators of principal ideals of exterior algebras. For odd elements we establish formulae for dimensions of their principal ideals and their annihilators. For even elements we exhibit ... -
Annihilators of principal ideals in the Grassmann algebra
Koç, Cemal; Esin, Songül (Birkhauser, 2002)It is well known that every Frobenius algebra is quasi-Frobenius, that is to say, if a finite dimensional algebra A over a field F has a nondegenerate bilinear form B such that B(xy, z) = B(x, yz) for all x, y, z ∊ A, then ... -
Characterization of some ring properties in incidence algebras
Esin, Songül; Kanuni, Müge; Koç, Ayten (Taylor & Francis, 2011)Let R be a ring with identity and I(X, R) be the incidence algebra of a locally finite partially ordered set X over R. In this article, we investigate the necessary and sufficient conditions for the incidence ring to be ... -
A combinatorial discussion on finite dimensional leavitt path algebras
Koç, Ayten; Esin, Songül; Güloğlu, İsmail Şuayip; Kanuni, Müge (Hacettepe Üniversitesi, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... -
A combinatorial discussion on finite edimensional Leavitt path algebras
Koç, Ayten; Esin, Songül; Güloğlu, İsmail Şuayip; Kanuni, Müge (Hacettepe University, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... -
Generalized catalan numbers, sequences and polynomials
Koç, Cemal; Güloğlu, İsmail Şuayip; Esin, Songül (TÜBİTAK, 2010)In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation ... -
Mesude Aslan’ın anısına armağan
Esin, Songül (Doğuş Üniversitesi, 2010-07-15)Mesude Arslan 22 Kasım 1952’de Tokat’ın Turhal ilçesinde doğdu. İlk ve orta öğrenimini 1958-1966 yıllarında memleketi Tokat, Zile'de tamamladı. Lise eğitimine Bursa öğretmen okulunda başladı. Eğitimine matematik kabiliyeti ...
