Generalization of ρ-ideals associated with an m-system and a special radical class

Basit Öğe Kaydı
dc.contributor.authorÇay, Hatice
dc.contributor.authorAbouhalaka, Alaa
dc.contributor.authorErsoy, Bayram Ali
dc.date.accessioned2025-11-25T12:08:04Z
dc.date.available2025-11-25T12:08:04Z
dc.date.issued2025
dc.departmentİstanbul Medipol Üniversitesi, İMÜ Meslek Yüksekokulu, Bilgisayar Programcılığı Ana Bilim Dalı
dc.description.abstractLet phi not equal S subset of R be an m-system of a ring R, and let. be a special radical. This study introduces the concept of S-rho-ideals in noncommutative rings. This notion extends the previously studied rho-ideals and can also be seen as a generalization of the right S-prime ideals. We show how some properties associated with rho-ideals have evolved into results within these generalizations. Relationships between S-rho-ideals and other types of ideals like rho-ideals, right S-prime ideals, and S-finite ideals are shown. We show the behaviour of this notion in related rings. The construction of (S boxed plus M)-rho-ideals in idealization rings is presented for an R- R-bimodule M. Additionally, we introduce S-P-ideals using Baer-McCoy radical P and examine their properties.
dc.identifier.citationÇay, H., Abouhalaka, A. ve Ersoy, B. A. (2025). Generalization of ρ-ideals associated with an m-system and a special radical class. Ricerche di Matematica, 74(3), 1467-1482. http://dx.doi.org/10.1007/s11587-024-00912-2
dc.identifier.doi10.1007/s11587-024-00912-2
dc.identifier.endpage1482
dc.identifier.issn0035-5038
dc.identifier.issn1827-3491
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85210009702
dc.identifier.scopusqualityQ1
dc.identifier.startpage1467
dc.identifier.urihttp://dx.doi.org/10.1007/s11587-024-00912-2
dc.identifier.urihttps://hdl.handle.net/20.500.12511/13240
dc.identifier.volume74
dc.identifier.wosWOS:001360985300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇay, Hatice
dc.institutionauthorid0000-0003-3965-1049
dc.language.isoen
dc.relation.ispartofRicerche di Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectM-System
dc.subjectNoncommutative Ring
dc.subjectPrime Ideal
dc.subjectS-Prime Ideal
dc.subjectSpecial Radical Classes
dc.titleGeneralization of ρ-ideals associated with an m-system and a special radical class
dc.typeArticle

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Makale Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu