Projective ideals in rings of dimension one

Author:

Carrig J. E.,Vasconcelos W. V.

Abstract

In this paper we discuss a construction that shows the projective ideals of a one-dimensional ring as radically dense in the set of all faithful ideals. Its applications are to questions of existence of a classical ring of quotients, to counting equations, and to a trade-in between Noetherianess and low homological dimension.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

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1. Generating ideals up to radical in noetherian polynomial rings;Communications in Algebra;1997-01

2. Flat ideals III;Communications in Algebra;1984-01

3. Modules;Journal of Soviet Mathematics;1983

4. A note on locally factorial noetherian domains∗;Communications in Algebra;1981-01

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