| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 18/18123-5 - Covering techniques in the study of degrees of irreducible morphisms |
| Grantee: | Viktor Chust Bugno Pires de Almeida |
| Support Opportunities: | Scholarships in Brazil - Master |