Xiao Jiang Guo, K. P. Shum, “Baer semisimple modules and Baer rings”, Algebra Discrete Math., 2008, Issue 2,Pages <nobr>42

This article is cited in 2 papers

RESEARCH ARTICLE

Baer semisimple modules and Baer rings

Xiao Jiang Guo^a, K. P. Shum^b

^a Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, P.R. China
^b Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, P.R. China (SAR)

Abstract: We consider Baer rings and Baer semisimple $R$-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring $R$ is a Baer ring if and only if $R$ itself, regarded as a regular $R$-module, is Baer semisimple.

Keywords: Baer module; Baer semisimple module; perpetual submodule; Baer ring.

MSC: 16W60

Received: 01.05.2008
Revised: 01.05.2008

Language: English