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Flat submodules of free modules over commutative Bezout rings
Published online by Cambridge University Press: 17 April 2009
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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's theorem.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 71 , Issue 1 , February 2005 , pp. 113 - 119
- Copyright
- Copyright © Australian Mathematical Society 2005
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