Rings Whose Certain Modules are Dual Self-CS-Baer

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Tarih

2024

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Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this work, we characterize some rings in terms of dual self-CS-Baer modules (briefly, ds-CS-Baer modules). We prove that any ring $R$ is a left and right artinian serial ring with $J^2(R)=0$ iff $R\\oplus M$ is ds-CS-Baer for every right $R$-module $M$. If $R$ is a commutative ring, then we prove that $R$ is an artinian serial ring iff $R$ is perfect and every $R$-module is a direct sum of ds-CS-Baer $R$-modules. Also, we show that $R$ is a right perfect ring iff all countably generated free right $R$-modules are ds-CS-Baer.

Açıklama

Anahtar Kelimeler

Dual self-CS-Baer module, Harada ring, Lifting module, Perfect ring, QF-ring, Serial ring

Kaynak

Mathematical Sciences and Applications E-Notes

WoS Q Değeri

Scopus Q Değeri

Cilt

12

Sayı

3

Künye