Igusa Todorov functions for radical square zero algebras

Autor(es)

Lanzilotta, Marcelo ; Marcos, Eduardo ; Mata, Gustavo

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 487, p. 357-385, OCT 1 2017.
• Citações Web of Science: 1

Resumo

In this paper we study the behaviour of the Igusa-Todorov functions for radical square zero algebras. We show that the left and the right phi-dimensions coincide, in this case. Some general results are given, but we concentrate more in the radical square zero algebras. Our study is based on two notions of hearth and member of a quiver Q. We give some bounds for the phi and the psi-dimensions and we describe the algebras for which the bound of psi is obtained. We also exhibit modules for which the phi-dimension is realised. (C) 2017 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático