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ON 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsMostafanasab, Hojjat; Yetkin, Ece; Tekir, Unsal; Darani, Ahmad Yousefian
dc.date.accessioned2022-03-14T08:14:41Z
dc.date.available2022-03-14T08:14:41Z
dc.date.issued2016-01-01
dc.description.abstractAll rings are commutative with 1 not equal 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2 -absorbing primary submodules generalizing 2 -absorbing primary ideals of rings. Let M be an R -module. A proper submodule N of an R -module M is called a 2 -absorbing primary submodule of M if whenever a, b is an element of R and m is an element of M and abm is an element of N, then am is an element of M-rad(N) or bm is an element of M-rad(N) or ab is an element of (N :(R) M). It is shown that a proper submodule N of M is a 2 -absorbing primary submodule if and only if whenever I-1 I-2 K subset of N for some ideals I-1,I-2 of R and some submodule K of M, then I-1,I-2 subset of (N :(R) M) or I-1 K subset of M-rad(N) or I2K subset of M-rad(N). We prove that for a submodule N of an R -module M if M-rad(N) is a prime submodule of M, then N is a 2 -absorbing primary submodule of M. If N is a 2 -absorbing primary submodule of a finitely generated multiplication R -module M, then (N :(R) M) is a 2 -absorbing primary ideal of R and M-rad(N) is a 2 -absorbing submodule of M.
dc.identifier.doi10.1515/auom-2016-0020
dc.identifier.eissn1844-0835
dc.identifier.issn1224-1784
dc.identifier.urihttps://hdl.handle.net/11424/241269
dc.identifier.wosWOS:000374768100018
dc.language.isoeng
dc.publisherSCIENDO
dc.relation.ispartofANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMultiplication module
dc.subjectPrimary submodule
dc.subjectPrime submodule
dc.subject2-absorbing submodule
dc.subjectn-absorbing submodule
dc.subjectIDEALS
dc.subjectRADICALS
dc.titleON 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
dc.typearticle
dspace.entity.typePublication
local.avesis.id2d5219d0-2f60-46d1-97f9-89bb03a51c4a
local.import.packageSS16
local.indexed.atWOS
local.indexed.atSCOPUS
local.journal.numberofpages17
local.journal.quartileQ4
oaire.citation.endPage351
oaire.citation.issue1
oaire.citation.startPage335
oaire.citation.titleANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
oaire.citation.volume24
relation.isAuthorOfPublicatione7414b66-bec0-4293-a4be-6218dc998752
relation.isAuthorOfPublication.latestForDiscoverye7414b66-bec0-4293-a4be-6218dc998752

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