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r-Submodules and sr-Submodules

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorsKoc, Suat; Tekir, Unsal
dc.date.accessioned2022-04-25T00:11:13Z
dc.date.available2022-04-25T00:11:13Z
dc.date.issued2018
dc.description.abstractIn this article, we introduce new classes of submodules called r-submodule and special r-submodule, which are two different generalizations of r-ideals. Let M be an R-module, where R is a commutative ring. We call a proper submodule N of M an r-submodule (resp., special r-submodule) if the condition am is an element of N with ann(M) (a) = 0(M) (resp., ann(R)(m) = 0) implies that m E N (resp., a is an element of (N :(R) M)) for each a is an element of R and m is an element of M. We also give various results and examples concerning r-submodules and special r-submodules.
dc.identifier.doi10.3906/mat-1702-20
dc.identifier.eissn1303-6149
dc.identifier.issn1300-0098
dc.identifier.urihttps://hdl.handle.net/11424/263865
dc.identifier.wosWOS:000439579600025
dc.languageeng
dc.publisherSCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
dc.relation.ispartofTURKISH JOURNAL OF MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectr-Ideal
dc.subjectprime ideal
dc.subjectr-submodule
dc.subjectspecial r-submodule
dc.subjectprime submodule
dc.subjectPRIME SUBMODULES
dc.titler-Submodules and sr-Submodules
dc.typearticle
dspace.entity.typePublication
local.avesis.id6c72ff32-a15a-431e-9ffc-be46307214bf
local.import.packageSS39
local.indexed.atWOS
local.journal.numberofpages14
local.journal.quartileQ3
oaire.citation.endPage1876
oaire.citation.issue4
oaire.citation.startPage1863
oaire.citation.titleTURKISH JOURNAL OF MATHEMATICS
oaire.citation.volume42
relation.isAuthorOfPublication57dc5867-a06e-42d4-b8f0-787ff572cabe
relation.isAuthorOfPublication.latestForDiscovery57dc5867-a06e-42d4-b8f0-787ff572cabe

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