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Dual -Rickart Modules
Let be an arbitrary ring with identity and a right -module with End. In this paper we introduce dual -Rickart modules as a
generalization of -regular rings as well as that of dual Rickart modules.
The module is called {\it dual -Rickart} if for any , there
exist and a positive integer such that Im. We prove
that some results of dual Rickart modules can be extended to dual -Rickart
modules for this general settings. We investigate relations between a dual
-Rickart module and its endomorphism ring.Comment: arXiv admin note: text overlap with arXiv:1204.234
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