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On flat finitely generated ideals
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that if I is a finitely generated ideal of a commutative ring R such that the multiplication map I ⊗RI → I is an injection, then I is locally principal. As a corollary, one obtains a new homological characterization of Prüfer domains.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1980 , pp. 131 - 135
- Copyright
- Copyright © Australian Mathematical Society 1980
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