On the correspondence between path algebras and generalized path algebras

Autor:	Chust, Viktor, Coelho, Flávio U.
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Primary 16G10 Secondary 16G20
Druh dokumentu:	Working Paper
DOI:	10.1080/00927872.2021.1998516
Popis:	The concept of generalized path algebras was introduced in (Coelho and Liu, 2000). It was shown in (Ib\'a\~nez Cobos et al., 2008) how to obtain the Gabriel quiver of a given generalized path algebra. In this article, we generalize the concept of generalized path algebra to allow them to have relations, and we extend the result in (Ib\'a\~nez Cobos et al., 2008) to this new setting. Moreover, we use the extended result mentioned above to address the inverse problem: that is, the problem of determining when a given algebra is isomorphic to a generalized path algebra in a non-trivial way. Comment: Published online, Comm. Algebra, 13 Nov 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.12189 Zobrazit plný text záznamu View this record from Arxiv