• Abdullah Harmanci

      Articles written in Proceedings – Mathematical Sciences

    • On a Class of Semicommutative Modules

      Nazim Agayev Tahire Özen Abdullah Harmanci

      More Details Abstract Fulltext PDF

      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.

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