Dergiler / International Electronic Journal of Algebra / 2008 / Cilt: 3 - Sayı: 3

ON REDUCED MODULES AND RINGS

ON REDUCED MODULES AND RINGS

Mangesh B. REGE, A. M. BUHPHANG

Sayfa
56–74
DOI
—

Abstract

In this paper we extend several results known for reduced rings to reduced modules. We prove that for a semiprime module or a module with zero Jacobson radical, the concepts of reduced, symmetric, ps-Armendariz and ZI modules coincide. New examples of reduced modules are furnished: flat modules over reduced rings and modules with zero Jacobson radical over left quo rings are reduced. Rings over which all modules are reduced/symmetric are characterized.