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Paper   IPM / M / 196
School of Mathematics
  Title:   The dual notion of the cyclic modules
  Author(s):  S. Yassemi
  Status:   Published
  Journal: Kobe J. Math.
  Vol.:  15
  Year:  1998
  Pages:   41-46
  Supported by:  IPM
We show that a commutative ring R is von Neumann regular if and only if each cocyclic R-module is simple. If R is Noetherian then it is shown that there exists a cocyclic R-module with finite flat dimension if and only if there exists m ∈ Max R such that Rm is Gorenstein.

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