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On uniformly pr-ideals in commutative rings

ArticleAçık Erişim

Özet

Let R be a commutative ring with nonzero identity and I a proper ideal of R: Then I is called a uniformly pr -ideal if there exists N ∈ ℕ such that ab ∈ I with ann(a) = 0 then bN ∈ I: We say that the smallest N ∈ ℕ is called order of I and denoted by ordR(I) = N. In this paper, we give some examples and characterizations of this new class of ideals. © 2019 TÜBITAK.

Anahtar Kelimeler

Pr-idealR-idealUniformly pr-ideal
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14448Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3906/mat-1902-102Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorUregen, Rabia Nagehan
dc.date.accessioned2026-10-18T20:29:15.648693264Z
dc.date.available2026-10-18T20:29:15.648693264Z
dc.date.issued2019
dc.description.abstractLet R be a commutative ring with nonzero identity and I a proper ideal of R: Then I is called a uniformly pr -ideal if there exists N ∈ ℕ such that ab ∈ I with ann(a) = 0 then bN ∈ I: We say that the smallest N ∈ ℕ is called order of I and denoted by ordR(I) = N. In this paper, we give some examples and characterizations of this new class of ideals. © 2019 TÜBITAK.
dc.identifier.doi10.3906/mat-1902-102
dc.identifier.eissn1303-6149
dc.identifier.endpage1886
dc.identifier.issn1300-0098
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85070532088
dc.identifier.startpage1878
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14448
dc.identifier.volume43
dc.identifier.wosWOS:000477794900006
dc.language.isoen
dc.publisherTUBITAK
dc.relation.ispartofTurkish Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPr-ideal
dc.subjectR-ideal
dc.subjectUniformly pr-ideal
dc.titleOn uniformly pr-ideals in commutative rings
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus4
rdl.citation.wos3
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)