Title: ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes
Abstract:Abstract We show for a commutative ring R with unity: If R satisfies the ascending chain condition on principal ideals (accp) and has only finitely many associated primes, then for any set of indeterm...Abstract We show for a commutative ring R with unity: If R satisfies the ascending chain condition on principal ideals (accp) and has only finitely many associated primes, then for any set of indeterminates X the polynomial ring R[X] also satisfies accp. Further we show that accp rises to the power series ring R[[X]] if R satisfies accp and the ascending chain condition on annihilators.Read More
Publication Year: 2004
Publication Date: 2004-05-03
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 3
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