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https://hdl.handle.net/10216/25781| Autor(es): | Christian Lomp Robert Wisbauer Khaled Al-Takhman |
| Título: | τ-complemented and τ-supplemented modules |
| Data de publicação: | 2006 |
| Resumo: | 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. |
| Descrição: | 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. |
| Assunto: | Álgebra, Matemática Algebra, Mathematics |
| Áreas do conhecimento: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
| URI: | https://hdl.handle.net/10216/25781 |
| Tipo de Documento: | Artigo em Revista Científica Internacional |
| Condições de Acesso: | openAccess |
| Licença: | https://creativecommons.org/licenses/by-nc/4.0/ |
| Aparece nas coleções: | FCUP - Artigo em Revista Científica Internacional |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| 48557.pdf | Published Paper | 188.51 kB | Adobe PDF |  Ver/Abrir |
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