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A new class of graded prime ideals

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Özet

In this paper, we introduce and investigate a new class of graded ideals in graded commutative rings, called graded weakly 2-absorbing quasi-primary ideals. We explore basic properties of these ideals and examine their relationships with existing classes of graded ideals. We also study their behavior under graded ring homomorphisms, quotient rings, localization, and idealization of graded modules. Several structural results and characterizations are presented, highlighting the flexibility and generality of this new class in the broader context of graded ideal theory. © 2026, Sidi Mohamed Ben Abdellah University. All rights reserved.

Anahtar Kelimeler

graded 2-absorbing idealgraded prime idealgraded weakly 2-absorbing quasi primary idealgraded weakly prime ideal
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AlanDeğerDil
dc.contributor.authorÜregen, Rabia Nagehan
dc.date.accessioned2026-10-18T20:25:16.728717340Z
dc.date.available2026-10-18T20:25:16.728717340Z
dc.date.issued2026
dc.description.abstractIn this paper, we introduce and investigate a new class of graded ideals in graded commutative rings, called graded weakly 2-absorbing quasi-primary ideals. We explore basic properties of these ideals and examine their relationships with existing classes of graded ideals. We also study their behavior under graded ring homomorphisms, quotient rings, localization, and idealization of graded modules. Several structural results and characterizations are presented, highlighting the flexibility and generality of this new class in the broader context of graded ideal theory. © 2026, Sidi Mohamed Ben Abdellah University. All rights reserved.
dc.description.sponsorshipSupported by Sidi Mohamed Ben Abdellah University, Fez, Morocco
dc.identifier.endpage94
dc.identifier.issn2820-7114
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105046035545
dc.identifier.startpage89
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/10041
dc.identifier.volume5
dc.language.isoen
dc.publisherSidi Mohamed Ben Abdellah University
dc.relation.ispartofMoroccan Journal of Algebra and Geometry with Applications
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectgraded 2-absorbing ideal
dc.subjectgraded prime ideal
dc.subjectgraded weakly 2-absorbing quasi primary ideal
dc.subjectgraded weakly prime ideal
dc.titleA new class of graded prime ideals
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.source.indexSCOPUS