[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 …

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 …

Generalized path algebras

FU Coelho, SX Liu - LECTURE NOTES IN PURE AND APPLIED …, 2000 - books.google.com
The description of basic algebras of finite dimension over algebraically closed fields as
quotients of path algebras has been very useful in the representation theory, not only in …

The path algebra as a left adjoint functor

K Iusenko, JW MacQuarrie - Algebras and Representation Theory, 2020 - Springer
We consider an intermediate category between the category of finite quivers and a certain
category of pseudocompact associative algebras whose objects include all pointed finite …

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 …

[PDF][PDF] On the dimensions of path algebras

J Asadollahi, R Hafezi - arXiv preprint arXiv:1202.0379, 2012 - arxiv.org
arXiv:1202.0379v1 [math.RT] 2 Feb 2012 Page 1 arXiv:1202.0379v1 [math.RT] 2 Feb 2012 ON
THE DIMENSIONS OF PATH ALGEBRAS JAVAD ASADOLLAHI AND RASOOL HAFEZI …

[图书][B] Quiver representations

R Schiffler - 2014 - Springer
This textbook is an introduction to the representation theory of finite-dimensional algebras
with a strong emphasis on quivers and their representations. The book is intended to be …

Graded quotients of path algebras: a local theory

EL Green, EN Marcos - Journal of Pure and Applied Algebra, 1994 - Elsevier
A local theory of graded modules is introduced in this paper. In the case when the graded
ring is a quotient ring of a path algebra, it is shown how to retrieve the original algebra from …

Generic representation theory of quivers with relations

E Babson, B Huisgen-Zimmermann, R Thomas - Journal of Algebra, 2009 - Elsevier
The irreducible components of varieties parametrizing the finite dimensional representations
of a finite dimensional algebra Λ are explored, with regard to both their geometry and the …

The natural quiver of an artinian algebra

F Li, L Chen - Algebras and Representation Theory, 2010 - Springer
The motivation of this paper is to study the natural quiver of an artinian algebra, a new kind
of quivers, as a tool independing upon the associated basic algebra. In Li (J Aust Math Soc …