ON REDUCED MODULES AND RINGS

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International Electronic Journal of Algebra
Volume:3 Issue:3
ON REDUCED MODULES AND RINGS

ON REDUCED MODULES AND RINGS

Authors : Mangesh B REGE, A M BUHPHANG

Pages : 56-74

View : 16 | Download : 11

Publication Date : 2008-06-01

Article Type : Research Paper

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.
Keywords : reduced modules, semiprime modules, ZI modules, ps Armendariz modules

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