τ-complemented and τ-supplemented modules

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Christian Lomp (Author) FCUP; Robert Wisbauer (Author) Other; Khaled Al-Takhman (Author) Other

Journal

Title: Algebra and Discrete Mathematics

Vol. 3

Pages: 1-15

ISSN: 1726-3255

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

Indexing

ISI Web of Science

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Algebra

Other information

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.

Language: English

Type (Professor's evaluation): Scientific