Browsing by Subject "Generalized left principally projective rings"
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Item Open Access Dual π-Rickart modules(Sociedad Colombiana de Matematicas, 2012) Ungor, B.; Kurtulmaz, Y.; Halicioglu, S.; Harmanci, A.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.