Modules with many homomorphisms

  title={Modules with many homomorphisms},
  author={Patrick F. Smith},
  journal={Journal of Pure and Applied Algebra},
  • Patrick F. Smith
  • Published 1 May 2005
  • Mathematics
  • Journal of Pure and Applied Algebra
We call a module R M essentially retractable if HomR( ) ,0 MN ≠ for all essential submodules N of M. For a right FBN ring R, it is shown that: (i) A nonzero module R M is retractable (in the sense
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On rings whose modules have nonzero homomorphisms to nonzero submodules
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EPI-Retractable Modules and Some Applications
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It is shown that every projective module over a right SI-ring is c-retractable and that a locally noetherian c- retractable module is homo-related to a direct sum of uniform modules.


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