m-full ideals

Author:

Watanabe Junzo

Abstract

An ideal a of a local ring (R, m) is called m-full if am: y = a for some y in a certain faithfully flat extension of R. The definition is due to Rees (unpublished) and he had obtained some elementary results (also unpublished). The present paper concerns some basic properties of m-full ideals. One result is the characterization of m-fullness in terms of the minimal number of generators of ideal, generalizing his result in a low dimensional case (Theorem 2, § 2).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. Dedekind sums, Carus Math;Rademacher;Monog,1972

2. Commutative Algebra

3. On ideals of finite homoloǵical dimension in local rings

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