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On the associativity of the torsion functor
Published online by Cambridge University Press: 17 April 2009
Extract
Let R be a commutative ring with identity. We say that tor is associative over R if for all R-modules A, B, C there is an isomorphism Our main results are that (1) tor is associative over a noetherian ring R if and only if R is the direct sum of a finite number of Dedekind rings and uniserial rings, and (2) tor is associative over an integral domain R if and only if R is a Prüfer ring.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 107 - 118
- Copyright
- Copyright © Australian Mathematical Society 1974