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On (m, n)-semiprime submodules

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorsPekin, Ayten; Koc, Suat; Ugurlu, Emel Aslankarayigit
dc.date.accessioned2022-03-14T09:52:03Z
dc.date.available2022-03-14T09:52:03Z
dc.date.issued2021
dc.description.abstractThis paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m,n is an element of N. Then a proper submodule P of M is said to be an (m, n)-semiprime submodule if whenever a(m)x is an element of P for some a is an element of A,x is an element of M, then a(n)x is an element of P. In addition to giving many characterizations and properties of this kind of submodules, we also use them to characterize von Neumann regular modules.
dc.identifier.doi10.3176/proc.2021.3.05
dc.identifier.eissn1736-7530
dc.identifier.issn1736-6046
dc.identifier.urihttps://hdl.handle.net/11424/243420
dc.identifier.wosWOS:000700776400005
dc.language.isoeng
dc.publisherESTONIAN ACAD PUBLISHERS
dc.relation.ispartofPROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectsemiprime submodule
dc.subject(m,n)-closed ideal
dc.subject(m,n)-semiprime submodule
dc.subjectvon Neumann regular module
dc.subjectdescending chain condition
dc.titleOn (m, n)-semiprime submodules
dc.typearticle
dspace.entity.typePublication
local.avesis.idbd14f765-3268-41ae-b8ae-3f14d003d702
local.import.packageSS16
local.indexed.atWOS
local.journal.numberofpages8
oaire.citation.endPage267
oaire.citation.issue3
oaire.citation.startPage260
oaire.citation.titlePROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
oaire.citation.volume70
relation.isAuthorOfPublication57dc5867-a06e-42d4-b8f0-787ff572cabe
relation.isAuthorOfPublication.latestForDiscovery57dc5867-a06e-42d4-b8f0-787ff572cabe

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