IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

borges, ines (Autor) Outra; lomp, christian (Autor) Outra

Revista

Título: Journal of Algebra and its Applications

Páginas: 101-117

ISSN: 0219-4988

Editora: World Scientific

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-V8B

DOI: 10.1142/S0219498811004446

Abstract (EN): Any finite set of linear operators on an algebra A yields an operator algebra B and a module structure on A, whose endomorphism ring is isomorphic to a subring A(B) of certain invariant elements of A. We show that if A is a critically compressible left B-module, then the dimension of its self-injective hull (A) over cap over the ring of fractions of A(B) is bounded by the uniform dimension of A and the number of linear operators generating B. This extends a known result on irreducible Hopf actions and applies in particular to weak Hopf action. Furthermore we prove necessary and sufficient conditions for an algebra A to be critically compressible in the case of group actions, group gradings and Lie actions.

Idioma: Inglês

Tipo (Avaliação Docente): Científica