Finite-dimensional representations of Leavitt path algebras
A Koç, M Özaydın - Forum Mathematicum, 2018 - degruyter.com
When Γ is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path
algebra L(Γ) via an explicit Morita equivalence given by an effective combinatorial …
algebra L(Γ) via an explicit Morita equivalence given by an effective combinatorial …
[HTML][HTML] The structure of Leavitt path algebras and the invariant basis number property
In this paper, we provide the structure of the Leavitt path algebra of a finite graph via some
step-by-step process of source eliminations, and restate Kanuni and Özaydin's nice criterion …
step-by-step process of source eliminations, and restate Kanuni and Özaydin's nice criterion …
Classification of Leavitt Path Algebras with Gelfand-Kirillov Dimension< 4 up to Morita Equivalence
A Koç, M Özaydın - arXiv preprint arXiv:2208.06357, 2022 - arxiv.org
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 …
procedure (the reduction algorithm) making the digraph smaller while preserving the Morita …
Flow equivalence of diagram categories and Leavitt path algebras
T Crisp, D MacDonald - Journal of Pure and Applied Algebra, 2023 - Elsevier
Several constructions on directed graphs originating in the study of flow equivalence in
symbolic dynamics (eg, splittings and delays) are known to preserve the Morita equivalence …
symbolic dynamics (eg, splittings and delays) are known to preserve the Morita equivalence …
On Leavitt path algebras of Hopf graphs
In this paper, we provide the structure of Hopf graphs associated to pairs (G, r) consisting of
groups G together with ramification datas r and their Leavitt path algebras. Consequently …
groups G together with ramification datas r and their Leavitt path algebras. Consequently …
Leavitt Path Algebras with Coefficients in a Commutative Unital Ring
A Koç, M Özaydın - arXiv preprint arXiv:2309.13152, 2023 - arxiv.org
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 …
Leavitt path algebras with new shorter proofs, we also prove some results that are new even …
Cohn-Leavitt path algebras of bi-separated graphs
The purpose of this article is to provide a common framework for studying various
generalizations of Leavitt path algebras. We first define Cohn-Leavitt path algebras of …
generalizations of Leavitt path algebras. We first define Cohn-Leavitt path algebras of …
(Multi-) Persistent Homology and Topological Robotics
W Li - 2023 - shareok.org
After developing the relevant background and proving some general results in the early
chapters, the main novel content of this thesis is the computation of the $ i $-th homology …
chapters, the main novel content of this thesis is the computation of the $ i $-th homology …
[图书][B] The Category of Modules Over a Leavitt Path Algebra
D MacDonald - 2022 - search.proquest.com
In this thesis we establish the technique used to construct universal algebras, and apply this
technique to construct Leavitt path algebras. We then establish the basic language of …
technique to construct Leavitt path algebras. We then establish the basic language of …
Functorial Constructions for Graph Algebras
A KOC, HN KOLCU - ftmakroglu05.github.io
The celebrated Gelfand-Naimark Theorem states that the category of compact Hausdorff
topological spaces is equivalent to the opposite category of commutative unital C∗ …
topological spaces is equivalent to the opposite category of commutative unital C∗ …