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Paper   IPM / M / 7728
School of Mathematics
  Title:   Flat submodules of free modules over commutative Bezout rings
  Author(s):  K. Samei
  Status:   Published
  Journal: Austral. Math. Soc.
  Vol.:  71
  Year:  2005
  Pages:   113-119
  Supported by:  IPM
A ring is called Bezout if every finitely generated ideal is principal. We show that every ideal of a commutative Bezout ring R is flat if and only if every submodule of a free R-module is flat. Using this theorem we obtain Neville theorem.

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