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On quası n-ideals of commutative rings

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dc.contributor.authorASLANKARAYİĞİT UĞURLU, EMEL
dc.contributor.authorsAnebri A., Mahdou N., ASLANKARAYİĞİT UĞURLU E.
dc.date.accessioned2023-09-12T13:20:52Z
dc.date.available2023-09-12T13:20:52Z
dc.date.issued2022-12-01
dc.description.abstractLet R be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of n-ideals and the class of (2, n)-ideals. A proper ideal I of R is said to be a quasi n-ideal if root I is an n-ideal of R. Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the n-ideals, the quasi primary ideals, the (2, n)-ideals and the pr-ideals. Moreover, we use the quasi n-ideals to characterize some kind of rings. Finally, we investigate quasi n-ideals under various contexts of constructions such as direct product, power series, idealization, and amalgamation of a ring along an ideal.
dc.identifier.citationAnebri A., Mahdou N., ASLANKARAYİĞİT UĞURLU E., "ON QUASI n-IDEALS OF COMMUTATIVE RINGS", CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.72, sa.4, ss.1133-1144, 2022
dc.identifier.doi10.21136/cmj.2022.0365-21
dc.identifier.endpage1144
dc.identifier.issn0011-4642
dc.identifier.issue4
dc.identifier.startpage1133
dc.identifier.urihttps://link.springer.com/article/10.21136/CMJ.2022.0365-21
dc.identifier.urihttps://hdl.handle.net/11424/293245
dc.identifier.volume72
dc.language.isoeng
dc.relation.ispartofCZECHOSLOVAK MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.subjectTemel Bilimler (SCI)
dc.subjectMATHEMATICS
dc.subjectNatural Sciences (SCI)
dc.subjectAnaliz
dc.subjectCebir ve Sayı Teorisi
dc.subjectMatematik (çeşitli)
dc.subjectGenel Matematik
dc.subjectFizik Bilimleri
dc.subjectAnalysis
dc.subjectAlgebra and Number Theory
dc.subjectMathematics (miscellaneous)
dc.subjectGeneral Mathematics
dc.subjectPhysical Sciences
dc.subjectn-ideal
dc.subjectquasi n-ideal
dc.subject(2, n)-ideal
dc.subject13A15
dc.subject13A18
dc.subjectn-ideal
dc.subjectquasi n-ideal
dc.subject(2
dc.subjectn)-ideal
dc.titleOn quası n-ideals of commutative rings
dc.typearticle
dspace.entity.typePublication
local.avesis.id47bfbab2-98af-4633-9028-4b53dfa8d3f2
local.indexed.atWOS
local.indexed.atSCOPUS
relation.isAuthorOfPublication57ec4601-dba2-4dd3-8ed2-53e1188a69f6
relation.isAuthorOfPublication.latestForDiscovery57ec4601-dba2-4dd3-8ed2-53e1188a69f6

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