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pro vyhledávání: '"Koç, Ayten"'
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
Akademický článek
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Publikováno v:
J Algebra Appl- Vol.19 No. 07, 2050122 (2020)
Pr\"{u}fer domains and subclasses of integral domains such as Dedekind domains admit characterizations by means of the properties of their ideal lattices. Interestingly, a Leavitt path algebra $L$, in spite of being non-commutative and possessing ple
Externí odkaz:
http://arxiv.org/abs/1808.10194
Publikováno v:
In Tectonophysics 5 January 2022 822
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:
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, Esin, Songül, Güloğlu, Ismail, Kanuni, Müge, Koc, Ayten, Esin, Songul, Guloglu, Ismail, Kanuni, Muge
Publikováno v:
Hacettepe J Math Stat Vol.43 (6) 943-951, 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. In this paper we will consider the special case where all division rings are exactly the fi
Externí odkaz:
http://arxiv.org/abs/1203.1405
Publikováno v:
In Journal of Structural Geology October 2020 139