The primary decomposition theory for modules

Joe Fisher

Type: Article

Publication Date: 1970-11-01

Citations: 43

DOI: https://doi.org/10.2140/pjm.1970.35.359

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 Artin-Rees property of a module.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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