Title

Ideals Differential Under High-Order Derivations

Comments

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Abbreviated Journal Title

Rocky Mt. J. Math.

Keywords

Mathematics

Abstract

In this paper we prove the following theorem: Let A be an R-algebra, S a multiplicatively closed set in A, U a subset of $Der_R^\infty \left( A\right)$ and I an ideal of A. If I is U-differential, then S(I) is U-differential as well. This implies that the nonembedded primary components of a differential ideal are differential. Nevertheless we give an example of an U-differential ideal which has no U-differential embedded primary component.

Journal Title

Rocky Mountain Journal of Mathematics

Volume

19

Issue/Number

2

Publication Date

1-1-1989

Document Type

Article

Language

English

First Page

423

Last Page

427

WOS Identifier

WOS:A1989AX18900002

ISSN

0035-7596

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