Description of partial actions

Author(s)

Cortes, Wagner ^[1] ; Marcos, Eduardo N. ^[2]

Affiliation

^[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS - Brazil

^[2] IME USP, Dept Matemat, Caixa Postal 66281, BR-05315970 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; SEP 2021.
• Web of Science Citations: 0

Abstract

In this paper, we study partial actions of groups on R-algebras, where R is a commutative ring. We describe the partial actions of groups on the indecomposable algebras with enveloping actions. Then we work on algebras that can be decomposed as product of indecomposable algebras and we give a description of the partial actions of groups on these algebras in terms of global actions. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants