On endo-semiprime and endo-cosemiprime modules

Document Type : Research Paper

Authors

1 Department of mathematics, Lorestan university,P.O.Box 465, Khoramabad, Iran.

2 Department of mathematics, Lorestan university, P.O.Box 465, Khoramabad, Iran.

10.29252/asta.5.1.69

Abstract

In this paper, we study the notions of endo-semiprime and endo-cosemiprime modules and obtain some related results. For instance, we show that in a right self-injective ring $R$, all nonzero ideals of $R$ are endo-semiprime as right (left) $R$-modules if and only if $R$ is semiprime. Also, we prove that both being endo-semiprime and being are Morita invariant properties.

Keywords


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