On the correspondence between path algebras and generalized path algebras

Autor(es)

Chust, Viktor ^[1] ; Coelho, Flavio U. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; OCT 2021.
• Citações Web of Science: 0

Resumo

The concept of generalized path algebras was introduced in Coelho and Liu (2000). It was shown in Ibanez 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 Ibanez 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. (AU)

• Processo FAPESP: 18/18123-5 - Técnicas de cobertura no estudo de graus de morfismos irredutíveis
• Beneficiário: Viktor Chust Bugno Pires de Almeida
• Modalidade de apoio: Bolsas no Brasil - Mestrado