Dual π-Rickart modules
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Date
2012
Authors
Ungor, B.
Kurtulmaz, Y.
Halicioglu, S.
Harmanci, A.
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Abstract
Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper we introduce dual π-Rickart modules as a generalization of π-regular rings as well as that of dual Rickart modules. The module M is said to be dual π-Rickart if for any f ∈ S, there exist e2 = e ∈ S and a positive integer n such that Im fn = eM. We prove that some results of dual Rickart modules can be extended to dual π-Rickart modules for this general settings. We investigate relations between a dual π-Rickart module and its endomorphism ring.
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Revista Colombiana de Matematicas
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Sociedad Colombiana de Matematicas
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English