On a class of semicommutative modules


Agayev N., Ozen T., Harmanci A.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.119, sa.2, ss.149-158, 2009 (SCI-Expanded) identifier identifier

Özet

Let R bearing with identity, M a right R-module and S = End(R)(M). In this note, we introduce S-semi commutative, 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.