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 called {\it dual π-Rickart} if for any f∈S, there
exist e2=e∈S and a positive integer n such that Imfn=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.Comment: arXiv admin note: text overlap with arXiv:1204.234