| Texto completo | |
| Autor(es): |
Marcos, Eduardo do Nascimento
;
Volkov, Yury
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 599, p. 47-pg., 2022-02-28. |
| Resumo | |
In our preceding paper we have introduced the notion of an s-homogeneous triple. In this paper we use this technique to study connected s-homogeneous algebras with two relations. For such algebras, we describe all possible pairs (A, M), where A is the s-Veronese ring and M is the (s, 1)-Veronese bimodule of the s-homogeneous dual algebra. For each such a pair we classify all the corresponding algebras or give a necessary and sufficient conditions for the algebra under consideration correspond to a given pair. During this process, we have proved that an s-homogeneous algebra with two dimensional s-th component cannot be s-Koszul for s > 2 and discuss the Koszul property for s-homogeneous algebras with two relations.(c) 2022 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 18/07046-0 - Álgebras S-homogêneas |
| Beneficiário: | Eduardo do Nascimento Marcos |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |
| Processo FAPESP: | 14/09310-5 - Estruturas algébricas e suas representações |
| Beneficiário: | Vyacheslav Futorny |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |