Homological invariants of generalized bound path algebras

V Chust, FU Coelho - arXiv preprint arXiv:2207.09488, 2022 - arxiv.org
arXiv:2207.09488v1 [math.RT] 19 Jul 2022 Page 1 arXiv:2207.09488v1 [math.RT] 19 Jul 2022
HOMOLOGICAL INVARIANTS OF GENERALIZED BOUND PATH ALGEBRAS VIKTOR CHUST …

[PDF][PDF] A note on generalized path algebras

RMI Cobos, G Navarro, JL Peña - Rev. Roumaine Math. Pures Appl, 2008 - csm.ro
We develop the theory of generalized path algebras as defined by Coelho and Xiu [4]. In
particular, we focus on the relation between a set of algebras and its associated generalized …

Generalized Path Algebras and Pointed Hopf Algebras

S Zhang, YZ Zhang, X Guo - arXiv preprint math/0310428, 2003 - arxiv.org
Most of pointed Hopf algebras of dimension $ p^ m $ with large coradical are shown to be
generalized path algebras. By the theory of generalized path algebras it is obtained that the …

On the correspondence between path algebras and generalized path algebras

V Chust, FU Coelho - Communications in Algebra, 2022 - Taylor & Francis
The concept of generalized path algebras was introduced in Coelho and Liu (2000). It was
shown in Ibáñez Cobos et al.(2008) how to obtain the Gabriel quiver of a given generalized …

Quiver Heisenberg algebras: a cubic analogue of preprojective algebras

M Herschend, H Minamoto - arXiv preprint arXiv:2402.08162, 2024 - arxiv.org
In this paper we study a certain class of central extensions of preprojective algebras of
quivers under the name quiver Heisenberg algebras (QHA). There are several classes of …

Jordan derivations and Lie derivations on path algebras

Y Li, F Wei - arXiv preprint arXiv:1203.4925, 2012 - arxiv.org
arXiv:1203.4925v1 [math.RA] 22 Mar 2012 Page 1 arXiv:1203.4925v1 [math.RA] 22 Mar 2012
JORDAN DERIVATIONS AND LIE DERIVATIONS ON PATH ALGEBRAS YANBO LI AND …

Isomorphisms of graded path algebras

J Gaddis - Proceedings of the American Mathematical Society, 2021 - ams.org
Isomorphisms of graded path algebras Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 149, Number 4, April 2021, Pages 1395–1403 https://doi.org/10.1090/proc/15425 …

Igusa-Todorov ϕ Function for Truncated Path Algebras

M Barrios, G Mata, G Rama - Algebras and Representation Theory, 2020 - Springer
Given a truncated path algebra A= 𝕜Q J k A=\BbbkQJ^k we prove that ϕ dim A= ϕ dim A op.
We also compute the ϕ-dimension of A as a function of the ϕ-dimension of 𝕜Q J 2 …

Cohn-Leavitt path algebras of bi-separated graphs

R Mohan, BN Suhas - Communications in Algebra, 2021 - Taylor & Francis
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 …

Self-dual Hopf algebras

EL Green, EN Macros - Communications in Algebra, 2000 - Taylor & Francis
We introduce the notions of self-dual (graded) Hopf algebras and of structurally simple
(graded) Hopf algebras. We prove that the self-dual Hopf algebras are structurally simple …