The Minus Partial Order on Endomorphism Rings

Abstract

Let $S=End(M)$ be the ring of endomorphisms of a right $R$-module M. In this paper we define the minus parital order for the endomorphism ring of modules. Also, we extend study of minus partial order to the endomorphism ring of a (Rickart) module. Thus several well-known results concerning minus partial order are generalized.

Keywords

• Endomorphism ring
• minus partial order operator
• Rickart ring

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