On a variation of co-coatomically supplemented modules
  
Yazarlar (1)
Dr. Öğr. Üyesi Emine ÖNAL KIR Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Maejo International Journal of Science and Technology (Q4)
Dergi ISSN 2697-4746
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 04-2025
Cilt / Sayı / Sayfa 19 / 1 / 80–93 DOI
Makale Linki https://mijst.mju.ac.th/Vol19/80-93.pdf
Özet
Co-coatomically ss-supplemented modules are identified by extending the concept of ss-supplemented modules, and certain characteristics of co-coatomically ss-supplemented modules are demonstrated. It is established that the sum of a finite set of co-coatomically sssupplemented modules remains co-coatomically ss-supplemented. Moreover, it is proven that any quotient module of a co-coatomically ss-supplemented module is also co-coatomically sssupplemented. It is observed that if􀜩 is a co-coatomically ss-supplemented submodule of a module􀜧 with the condition that􀜧/􀜩 lacks a maximal submodule, then􀜧 is co-coatomically ss-supplemented. It is demonstrated that the ring􀜵 is semi-perfect and􀜴􀜽􀝀(􀜵)⊆􀜵􀝋􀜿(􀯌􀜵) if and only if􀜵 is semi-local and􀜴􀜽􀝀(􀜵)⊆􀜵􀝋􀜿(􀯌􀜵) if and only if each left S-module is cocoatomically ss-supplemented. Furthermore, specific characteristics of co-coatomically sssupplemented modules over Dedekind rings are examined.
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