τ-complemented and τ-supplemented modules

• Tipo: Artigo em Revista Científica Internacional
• Data: 2006

Autores

Christian Lomp (Autor) FCUP; Robert Wisbauer (Autor) Outra; Khaled Al-Takhman (Autor) Outra

Revista

Título: Algebra and Discrete Mathematics

Vol. 3

Páginas: 1-15

ISSN: 1726-3255

Editora: Institute of Applied Mathematics And Mechanics of the National Academy of Sciences of Ukraine

Indexação

ISI Web of Science

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Físicas > Matemática > Álgebra

Outras Informações

Resumo (PT): Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphism and this observations were extended to modules by Stenstr\"om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.

Abstract (EN): Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphism and this observations were extended to modules by Stenstr\"om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.

Idioma: Inglês

Tipo (Avaliação Docente): Científica