dc.contributor.author | Tutuncu, Derya Keskin | |
dc.contributor.author | Tribak, Rachid | |
dc.date.accessioned | 2019-12-16T09:40:13Z | |
dc.date.available | 2019-12-16T09:40:13Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0035-7596 | |
dc.identifier.uri | https://doi.org/10.1216/RMJ-2013-43-4-1355 | |
dc.identifier.uri | http://hdl.handle.net/11655/19825 | |
dc.description.abstract | is known that a direct summand of a (D-12)module need not be a (D-12)-module. In this paper we establish some properties of completely (D-12)-modules (modules for which every direct summand is a (D-12)-module). After giving some examples of completely (D-12)-modules, it is proved that every finitely generated weakly supplemented completely (D-12)-module is a finite direct sum of local modules. We also prove that a direct sum of (D-12)-modules need not be a (D-12)-module. Then we deal with some special cases of direct sums of (D-12)-modules. We conclude this work by characterizing some rings in terms of (D-12)-modules. | |
dc.language.iso | en | |
dc.publisher | Rocky Mt Math Consortium | |
dc.relation.isversionof | 10.1216/RMJ-2013-43-4-1355 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Mathematics | |
dc.title | On (D-12)-Modules | |
dc.type | info:eu-repo/semantics/article | |
dc.relation.journal | Rocky Mountain Journal Of Mathematics | |
dc.contributor.department | Matematik | |
dc.identifier.volume | 43 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1355 | |
dc.identifier.endpage | 1373 | |
dc.description.index | WoS | |
dc.description.index | Scopus | |