dc.contributor.author | Alkan, M | |
dc.contributor.author | Ozcan, AC | |
dc.date.accessioned | 2019-12-16T09:39:25Z | |
dc.date.available | 2019-12-16T09:39:25Z | |
dc.date.issued | 2004 | |
dc.identifier.issn | 0092-7872 | |
dc.identifier.uri | https://doi.org/10.1081/AGB-200034143 | |
dc.identifier.uri | http://hdl.handle.net/11655/19713 | |
dc.description.abstract | Let M be a left R-module and F a submodule of M for any ring R. We call M F-semiregular if for every x is an element of M, there exists a decomposition M = A circle plus B such that A is projective, A less than or equal to Rx and Rx boolean AND B less than or equal to F. This definition extends several notions in the literature. We investigate some equivalent conditions to F-semiregular modules and consider some certain fully invariant submodules such as Z(M), Soc(M), delta(M). We prove, among others, that if M is a finitely generated projective module, then M is quasi-injective if and only if M is Z(M)-semiregular and M circle plus M is CS. If M is projective Soc(M)-semiregular module, then M is semiregular. We also characterize QF-rings R with J(R)(2) = 0. | |
dc.language.iso | en | |
dc.publisher | Marcel Dekker Inc | |
dc.relation.isversionof | 10.1081/AGB-200034143 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Mathematics | |
dc.title | Semiregular Modules With Respect To A Fully Invariant Submodule | |
dc.type | info:eu-repo/semantics/article | |
dc.relation.journal | Communications In Algebra | |
dc.contributor.department | Matematik | |
dc.identifier.volume | 32 | |
dc.identifier.issue | 11 | |
dc.identifier.startpage | 4285 | |
dc.identifier.endpage | 4301 | |
dc.description.index | WoS | |