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https://hdl.handle.net/10216/25781| Author(s): | Christian Lomp Robert Wisbauer Khaled Al-Takhman |
| Title: | τ-complemented and τ-supplemented modules |
| Issue Date: | 2006 |
| Abstract: | 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. |
| Description: | 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. |
| Subject: | Álgebra, Matemática Algebra, Mathematics |
| Scientific areas: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
| URI: | https://hdl.handle.net/10216/25781 |
| Document Type: | Artigo em Revista Científica Internacional |
| Rights: | openAccess |
| License: | https://creativecommons.org/licenses/by-nc/4.0/ |
| Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
This item is licensed under a Creative Commons License
