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τ-complemented and τ-supplemented modules

Title
τ-complemented and τ-supplemented modules
Type
Article in International Scientific Journal
Year
2006
Authors
Christian Lomp
(Author)
FCUP
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Robert Wisbauer
(Author)
Other
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Khaled Al-Takhman
(Author)
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Indexing
Publicação em ISI Web of Science 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
License type: Click to view license CC BY-NC
Documents
File name Description Size
adm-n3-1 Published Paper 188.51 KB
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