On topological lattices and their applications to module theory

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Abuhlail, J (Autor) Outra; Christian Lomp (Autor) FCUP

Revista

Título: Journal of Algebra and its Applications

Vol. 15

Página Final: 1650046

ISSN: 0219-4988

Editora: World Scientific

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 6 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática ; Ciências Físicas > Matemática > Álgebra

Outras Informações

ID Authenticus: P-00K-5GZ

DOI: 10.1142/s0219498816500468

Abstract (EN): Yassemi's "second submodules" are dualized and properties of its spectrum are studied. This is done by moving the ring theoretical setting to a lattice theoretical one and by introducing the notion of a (strongly) topological lattice L = (L, Lambda, V) with respect to a proper subset X of L. We investigate and characterize (strongly) topological lattices in general in order to apply it to modules over associative unital rings. Given a non-zero left R-module M, we introduce and investigate the spectrum Spec(f) (M) of first submodules of M as a dual notion of Yassemi's second submodules. We topologize Spec(f) (M) and investigate the algebraic properties of M by passing to the topological properties of the associated space.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21