On M-coidempotent elements and fully coidempotent modules
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we introduce the notion of M-coidempotent elements of a ring and investigate their connections with fully coidempotent modules, fully copure modules and vn-regular modules where M is a module. We prove that if M is a finitely cogenerated module, then M is fully copure if and only if M is semisimple. We prove that if M is a Noetherian module or M is a finitely cogenerated module, then M is fully coidempotent if and only if M is a vn-regular module. Finally, we give a characterization of semisimple Artinian modules via weak idempotents.
Açıklama
Anahtar Kelimeler
M-Coidempotent Element, Fully Coidempotent Module, Fully Copure Module, Vn-Regular Module, Comultiplication Modules, Dual Notion, Rings
Kaynak
Communications In Algebra
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
48
Sayı
11
