On Rickart modules

Authors

  • A Harmanci Hacettepe University, Turkey
  • S Agayev Eropean University of Lefke, Cyprus
Abstract:

Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S=$ End$_R(M)$. The module $M$ is called {it Rickart} if for any $fin S$, $r_M(f)=Se$ for some $e^2=ein S$. We prove that some results of principally projective rings and Baer modules can be extended to Rickart modules for this general settings.

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Journal title

volume 38  issue 2

pages  433- 445

publication date 2012-07-15

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