[HTML][HTML] Representations of Leavitt path algebras
A Koç, M Özaydın - Journal of pure and applied algebra, 2020 - Elsevier
We study representations of a Leavitt path algebra L of a finitely separated digraph Γ over a
field. We show that the category of L-modules is equivalent to a full subcategory of quiver …
field. We show that the category of L-modules is equivalent to a full subcategory of quiver …
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 …
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 …
[HTML][HTML] Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs
Abstract The Gelfand–Kirillov dimension is a well established quantity to classify the growth
of infinite dimensional algebras. In this article we introduce the algebraic entropy for path …
of infinite dimensional algebras. In this article we introduce the algebraic entropy for path …
[HTML][HTML] Corners of Leavitt path algebras of finite graphs are Leavitt path algebras
We achieve an extremely useful description (up to isomorphism) of the Leavitt path algebra
LK (E) of a finite graph E with coefficients in a field K as a direct sum of matrix rings over K …
LK (E) of a finite graph E with coefficients in a field K as a direct sum of matrix rings over K …
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 …
On induced graded simple modules over graded Steinberg algebras with applications to Leavitt path algebras
NQ Loc, NB Van - Journal of Algebra and Its Applications, 2024 - World Scientific
For an ample groupoid 𝒢 and a unit x of 𝒢, Steinberg constructed the induction and
restriction functors between the category of modules over the Steinberg algebra AR (𝒢) and …
restriction functors between the category of modules over the Steinberg algebra AR (𝒢) and …
Algebraic entropy and a complete classification of path algebras over finite graphs by growth
The Gelfand-Kirillov dimension is a well established quantity to classify the growth of infinite
dimensional algebras. In this article we introduce the algebraic entropy for path algebras …
dimensional algebras. In this article we introduce the algebraic entropy for path algebras …
Anick type automorphisms and new irreducible representations of Leavitt path algebras
S Kuroda, TG Nam - Journal of Noncommutative Geometry, 2023 - ems.press
Anick type automorphisms and new irreducible representations of Leavitt path algebras Page 1
J. Noncommut. Geom. 17 (2023), 811–834 DOI 10.4171/JNCG/489 © 2023 European …
J. Noncommut. Geom. 17 (2023), 811–834 DOI 10.4171/JNCG/489 © 2023 European …
On induced graded simple modules over graded Steinberg algebras with applications to Leavitt path algebras
QL Nguyen, B Van Nguyen - arXiv preprint arXiv:2006.09931, 2020 - arxiv.org
For an ample groupoid $\mathcal {G} $ and a unit $ x $ of $\mathcal {G} $, Steinberg
constructed the induction and restriction functors between the category of modules over the …
constructed the induction and restriction functors between the category of modules over the …