Characterization of ss-Supplemented Modules With Respect to Finitely Generated Factor Modules in View of Singularity
Yazarlar (1)
Doç. Dr. Esra ÖZTÜRK SÖZEN Sinop Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Filomat (Q2)
Dergi ISSN 0354-5180 Dergi Bilgileri (2025)
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 39 / 22 / 7707–7719 DOI 10.2298/FIL2522707O
Makale Linki https://doi.org/10.2298/FIL2522707O
UAK Araştırma Alanları
Cebir ve Sayılar Teorisi
Özet
In this essay (amply) cofinitely 𝛿𝑠𝑠-supplemented modules are presented and fundamental algebraic features of these modules are examined. Privately, a ring characterization theorem is presented as follows. 𝑅 is a 𝛿𝑠𝑠-perfect ring if and only if every (projective) left 𝑅-module is (amply) cofinitely 𝛿𝑠𝑠-supplemented. Moreover, the question when cofinitely 𝛿𝑠𝑠-supplemented modules are cofinitely sssupplemented is checked. With this aim we define left Δ𝑠𝑠-rings and the fact that a ring 𝑅 is a left Δ𝑠𝑠-ring if and only if each cofinitely 𝛿𝑠𝑠-supplemented 𝑅-module is cofinitely 𝑠𝑠-supplemented is proven.
Anahtar Kelimeler
(amply) cofinitely δss-supplemented module | left δss-perfect ring | left ∆ss-ring