• Abdullah Harmanci

Articles written in Proceedings – Mathematical Sciences

• On a Class of Semicommutative Modules

Let 𝑅 be a ring with identity, 𝑀 a right 𝑅-module and $S=\mathrm{End}_R(M)$. In this note, we introduce 𝑆-semicommutative, 𝑆-Baer, $S-q.$-Baer and $S-p.q.$-Baer modules. We study the relations between these classes of modules. Also we prove if 𝑀 is an 𝑆-semicommutative module, then 𝑀 is an $S-p.q.$-Baer module if and only if $M[x]$ is an $S[x]-p.q.$-Baer module, 𝑀 is an 𝑆-Baer module if and only if $M[x]$ is an $S[x]$-Baer module, 𝑀 is an $S-q.$-Baer module if and only if $M[x]$ is an $S[x]-q.$-Baer module.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019