?-Supplemented modules and ?-weakly supplemented modules
| dc.contributor.author | Koşan, Tamer Tamer | |
| dc.date.accessioned | 2025-10-29T12:10:29Z | |
| dc.date.issued | 2007 | |
| dc.department | Gebze Teknik Üniversitesi | |
| dc.description.abstract | Given a hereditary torsion theory ? = (T, F) in Mod-R, a module M is called ?-supplemented if every submodule A of M contains a direct summand C of M with A/C ?-torsion. A submodule V of M is called ?-supplement of U in M if U + V = M and U ? V ? ?(V) and M is ?-weakly supplemented if every submodule of M has a ?-supplement in M. Let M be a ?-weakly supplemented module. Then M has a decomposition M = M<inf>1</inf> ? M <inf>2</inf> where M<inf>1</inf> is a semisimple module and M<inf>2</inf> is a module with ?(M<inf>2</inf>) ? M<inf>2</inf>. Also, it is shown that; any finite sum of ?-weakly supplemented modules is a ?-weakly supplemented module. © 2007 Elsevier B.V., All rights reserved. | |
| dc.identifier.endpage | 257 | |
| dc.identifier.issn | 0044-8753 | |
| dc.identifier.issn | 1212-5059 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-37249079792 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 251 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14854/15185 | |
| dc.identifier.volume | 43 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Koşan, Tamer Tamer | |
| dc.language.iso | en | |
| dc.relation.ispartof | Archivum Mathematicum | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20251020 | |
| dc.subject | ?-Supplement submodule | |
| dc.subject | Torsion theory | |
| dc.title | ?-Supplemented modules and ?-weakly supplemented modules | |
| dc.type | Article |
