Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Özaydin, Murad"'
Autor:
Koç, Ayten, Özaydın, Murad
In addition to extending some facts from field coefficients to commutative ring coefficients for Leavitt path algebras with new shorter proofs, we also prove some results that are new even for field coefficients. In particular, we show that the ideal
Externí odkaz:
http://arxiv.org/abs/2309.13152
Autor:
Koç, Ayten, Özaydın, Murad
Leavitt path algebras are associated to di(rected )graphs and there is a combinatorial procedure (the reduction algorithm) making the digraph smaller while preserving the Morita type. We can recover the vertices and most of the arrows of the complete
Externí odkaz:
http://arxiv.org/abs/2208.06357
Autor:
Koç, Ayten, Özaydın, Murad
When $\Gamma$ is a row-finite di(rected )graph we classify all finite dimensional modules of the Leavitt path algebra $L(\Gamma)$ via an explicit Morita equivalence given by an effective combinatorial (reduction) algorithm on the digraph $\Gamma$. Th
Externí odkaz:
http://arxiv.org/abs/1607.04622
Autor:
Kanuni, Müge, Özaydın, Murad
Publikováno v:
J Algebra Appl Vol.18 No.05, 1950086 (2019)
We give the necessary and sufficient condition for a separated Cohn-Leavitt path algebra of a finite digraph to have IBN. As a consequence, separated Cohn path algebras have IBN. We determine the non-stable K-theory of a corner ring in terms of the n
Externí odkaz:
http://arxiv.org/abs/1606.07998
Autor:
Koç, Ayten, Özaydın, Murad
We study representations of a Leavitt path algebra $L$ of a finitely separated digraph $\Gamma$ over a field. We show that the category of $L$-modules is equivalent to a full subcategory of quiver representations. When $\Gamma$ is a (non-separated) r
Externí odkaz:
http://arxiv.org/abs/1510.03382
Autor:
Koç, Ayten, Özaydın, Murad
Publikováno v:
In Journal of Pure and Applied Algebra March 2020 224(3):1297-1319
Autor:
Dover, James, Özaydın, Murad
We prove Csorba's conjecture that the Lov\'asz complex Hom(C_5,K_n) of graph multimorphisms from the 5-cycle C_5 to the complete graph K_n is Z/2Z-equivariantly homeomorphic to the Stiefel manifold, V(n-1,2), the space of (ordered) orthonormal 2-fram
Externí odkaz:
http://arxiv.org/abs/1302.2831
Autor:
Dover, James, Özaydın, Murad
For Gamma a finite, connected metric graph, we consider the space of configurations of n points in Gamma with a restraint parameter r dictating the minimum distance allowed between each pair of points. These restricted configuration spaces come up na
Externí odkaz:
http://arxiv.org/abs/1301.5693
Autor:
Kombe, Ismail, Özaydin, Murad
We continue our previous study of improved Hardy, Rellich and Uncertainty principle inequalities on a Riemannian manifold $M$, started in \cite{Kombe-Ozaydin}. In the present paper we prove new weighted Hardy-Poincar\'e, Rellich type inequalities as
Externí odkaz:
http://arxiv.org/abs/1103.2747
Autor:
Dover, James, Özaydın, Murad
Publikováno v:
In Journal of Combinatorial Theory, Series A January 2014 121:74-88