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Homogeneous triples for homogeneous algebras with two relations

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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