Vol. 35, No. 2, 1970

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The primary decomposition theory for modules

Joe Wayne Fisher

Vol. 35 (1970), No. 2, 359–367
Abstract

Necessary and sufficient conditions are given for the classical Lasker-Noether primary decomposition theory to exist on a module over an arbitrary commutative ring. Also investigation is conducted into the connection between the existence of the primay decomposition theory and the ArtinRees property of a module.

Mathematical Subject Classification
Primary: 16.40
Milestones
Received: 10 February 1970
Published: 1 November 1970
Authors
Joe Wayne Fisher