Erzincan Binali Yıldırım ÜniversitesiErzincan Binali Yıldırım ÜniversitesiAçık Erişim Arşivi · RDL Open

A Note on ϕ-Pseudo 2-Prime Ideals

ArticleAçık Erişim

Özet

This paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ : L(R)⟶L(R) ∪ {∅} be a function, where L(R) is the lattice of all ideals of R. A proper ideal I of R is said to be a ϕ-pseudo 2-prime ideal if whenever ab ∈ I − ϕ(I) for some a, b ∈ R, then a2n ∈ In or b2n ∈ In for some (Formula presented.) In addition to giving various properties and examples related to ϕ-pseudo 2-prime ideals, the characterization of some important ring structures such as von Neumann regular rings is given in terms of our new concept. Copyright © 2025 Rabia Nagehan Üregen. Journal of Mathematics published by John Wiley & Sons Ltd.

Anahtar Kelimeler

2-prime idealpseudo 2-prime idealvon Neumann regular ringϕ-pseudo 2-prime ideal
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/11332Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/jom/7609086Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÜregen, Rabia Nagehan
dc.date.accessioned2026-10-18T20:26:24.088100649Z
dc.date.available2026-10-18T20:26:24.088100649Z
dc.date.issued2025
dc.description.abstractThis paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ : L(R)⟶L(R) ∪ {∅} be a function, where L(R) is the lattice of all ideals of R. A proper ideal I of R is said to be a ϕ-pseudo 2-prime ideal if whenever ab ∈ I − ϕ(I) for some a, b ∈ R, then a2n ∈ In or b2n ∈ In for some (Formula presented.) In addition to giving various properties and examples related to ϕ-pseudo 2-prime ideals, the characterization of some important ring structures such as von Neumann regular rings is given in terms of our new concept. Copyright © 2025 Rabia Nagehan Üregen. Journal of Mathematics published by John Wiley & Sons Ltd.
dc.identifier.doi10.1155/jom/7609086
dc.identifier.eissn2314-4785
dc.identifier.issn2314-4629
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105018691652
dc.identifier.startpage7609086
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/11332
dc.identifier.volume2025
dc.identifier.wosWOS:001590819500001
dc.language.isoen
dc.publisherJohn Wiley and Sons Ltd
dc.relation.ispartofJournal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject2-prime ideal
dc.subjectpseudo 2-prime ideal
dc.subjectvon Neumann regular ring
dc.subjectϕ-pseudo 2-prime ideal
dc.titleA Note on ϕ-Pseudo 2-Prime Ideals
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.citation.wos1
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)