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Generalizations of r-ideals of commutative rings

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dc.contributor.authorASLANKARAYİĞİT UĞURLU, EMEL
dc.contributor.authorsUgurlu, Emel Aslankarayigit
dc.date.accessioned2022-03-14T09:52:15Z
dc.date.available2022-03-14T09:52:15Z
dc.date.issued2021-11-17
dc.description.abstractIn this study, we present generalizations of the concept of r-ideals in commutative rings with a nonzero identity. Let R be a commutative ring with 0 not equal 1 and L(R) be the lattice of all ideals of R. Suppose that phi:L(R) -> L(R) boolean OR {circle divide} is a function. A proper ideal I of R is called a phi-r-ideal of R if whenever ab is an element of I and Ann(a) = (0) imply that b is an element of I for each a,b is an element of R. In addition to proven many properties of phi-r-ideals, we also examine the concept of phi-r-ideals in a trivial ring extension and use them to characterize total quotient rings.
dc.identifier.doi10.1080/09720502.2021.1876294
dc.identifier.eissn2169-012X
dc.identifier.issn0972-0502
dc.identifier.urihttps://hdl.handle.net/11424/243445
dc.identifier.wosWOS:000662905000001
dc.language.isoeng
dc.publisherTAYLOR & FRANCIS LTD
dc.relation.ispartofJOURNAL OF INTERDISCIPLINARY MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectr-ideals
dc.subjectphi-prime ideals
dc.subjectphi-r-ideals
dc.titleGeneralizations of r-ideals of commutative rings
dc.typearticle
dspace.entity.typePublication
local.avesis.id47a78bae-cba4-4e21-b60a-df0ef28760ce
local.import.packageSS16
local.indexed.atWOS
local.indexed.atSCOPUS
local.journal.numberofpages11
oaire.citation.titleJOURNAL OF INTERDISCIPLINARY MATHEMATICS
relation.isAuthorOfPublication57ec4601-dba2-4dd3-8ed2-53e1188a69f6
relation.isAuthorOfPublication.latestForDiscovery57ec4601-dba2-4dd3-8ed2-53e1188a69f6

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