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ON QUASI MAXIMAL IDEALS OF COMMUTATIVE RINGS

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dc.contributor.authorAlan, Murat
dc.contributor.authorKilic, Mesut
dc.contributor.authorKoc, Suat
dc.contributor.authorTekir, Unsal
dc.date.accessioned2026-06-27T15:06:06Z
dc.date.issued2023
dc.description.abstractLet R be a commutative ring with 1 =? 0. A proper ideal I of R is said to be a quasi maximal ideal if for every a E R - I, either I + Ra = R or I + Ra is a maximal ideal of R. This class of ideals lies between 2-absorbing ideals and maximal ideals which is different from prime ideals. In addition to give fundamental properties of quasi maximal ideals, we characterize principal ideal UN-rings with V02 = (0), direct product of two fields, and Noetherian zero dimensional modules in terms of quasi maximal ideals.en
dc.description.urihttps://doi.org/10.7546/crabs.2023.12.01
dc.identifier.doi10.7546/crabs.2023.12.01
dc.identifier.endpage1810
dc.identifier.issn1310-1331
dc.identifier.issue12
dc.identifier.startpage1801
dc.identifier.urihttps://hdl.handle.net/20.500.14981/67931
dc.identifier.volume76
dc.identifier.wos001133117900008
dc.language.isoeng
dc.publisherPUBL HOUSE BULGARIAN ACAD SCI
dc.relation.ispartofCOMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
dc.rightsopenAccess
dc.subjectmaximal ideal
dc.subjectquasi-maximal ideal
dc.subjectprime ideal
dc.subjectprimary ideal
dc.subject2-absorbing ideal
dc.subjectScience & Technology - Other Topics
dc.titleON QUASI MAXIMAL IDEALS OF COMMUTATIVE RINGS
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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