Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2011.51.4.375
Title & Authors
Baer and Quasi-Baer Modules over Some Classes of Rings Haily, Abdelfattah; Rahnaou, Hamid;
We study Baer and quasi-Baer modules over some classes of rings. We also introduce a new class of modules called AI-modules, in which the kernel of every nonzero endomorphism is contained in a proper direct summand. The main results obtained here are: (1) A module is Baer iff it is an AI-module and has SSIP. (2) For a perfect ring R, the direct sum of Baer modules is Baer iff R is primary decomposable. (3) Every injective R-module is quasi-Baer iff R is a QI-ring.