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      Dual π-Rickart modules

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      Author(s)
      Ungor, B.
      Kurtulmaz, Y.
      Halicioglu, S.
      Harmanci, A.
      Date
      2012
      Source Title
      Revista Colombiana de Matematicas
      Print ISSN
      0034-7426
      Electronic ISSN
      2357-4100
      Publisher
      Sociedad Colombiana de Matematicas
      Volume
      46
      Issue
      2
      Pages
      167 - 180
      Language
      English
      Type
      Article
      Item Usage Stats
      62
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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.
      Keywords
      π-Rickart modules
      Dual π-Rickart modules
      Fitting modules
      Generalized left principally projective rings
      π-regular rings
      13C99
      16D80
      16U80
      Permalink
      http://hdl.handle.net/11693/13142
      Published Version (Please cite this version)
      http://www.scielo.org.co/pdf/rcm/v46n2/v46n2a04.pdf
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      • Department of Mathematics 653
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