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Kernel Coefficient Ideals in Noetherian Rings

โœ Scribed by Da-Qing Chen

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
336 KB
Volume
179
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

A new ideal I*, the kernel coefficient ideal of a nonprincipal ideal I, is introduced in a commutative Noetherian ring R. Various properties of this ideal and its relations with many other standard concepts are studied. I* is also examined in terms of a sequence of subideals I and the relation type of I when R n is a local ring. Several characterizations of I* are given in terms of the kernels of certain ring homomorphisms, and then it is shown that this new ideal has many nice applications, especially in the study of asymptotic prime divisors. แฎŠ 1996 Academic Press, Inc. 1 g ลฝ . and 2.4 that I* actually depends only on I.

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