Noether Lasker Primary Decomposition Revisited

Noether Lasker Primary Decomposition Revisited

The Noether-Lasker Primary Decomposition Theorem for commutative algebra is presented. The theorem offers a way to extend a version of prime factorization from the integers to a much larger class of rings.

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Veröffentlicht in:The American mathematical monthly 1994-10, Vol.101 (8), p.759-768
1. Verfasser: Osofsky, Barbara L.
Format: Artikel
Sprache:eng
Schlagworte:
Abstract algebra
Algebra
Homomorphisms
Integers
Mathematical rings
Mathematical theorems
Matrices
Maximality
Polynomials
Vector spaces
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Beschreibung
Zusammenfassung:The Noether-Lasker Primary Decomposition Theorem for commutative algebra is presented. The theorem offers a way to extend a version of prime factorization from the integers to a much larger class of rings.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.1994.11997022