MULTIPLICATION SEMILOCAL MODULES AND THEIR ENDOMORPHISM RINGS

P. Jaipong; J. Sanwong

P. Jaipong
J. Sanwong

Keywords: semilocal module, multipplicationmodule, hollowdimension, weak supplement, stable range, faithful module

Abstract

In this paper we give some general properties of semilocal multiplication modules. Then some characterizations of these modules are given. Also we study the endomorphism rings of semilocal multiplication modules and give necessary and suﬃcient conditions for the endomorphism rings of such modules to be semilocal.