A note on universally catenary rings-Reference-Cited by-同舟云学术

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A note on universally catenary rings

Published:1982-11 Issue: Volume:87 Page:95-100
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Greco Silvio

Abstract

The following two related problems in Commutative Algebra are certainly very popular:

1. Study the permanence of properties from a ring A to an idealadic completion of A; and

2. Study the lifting of properties from A/I to A where A is a ring which is complete and separated in the I-adic topology.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)

2. Incollamenti e gruppi di Picard;Pedrini;Rend. Sem. Mat. Univ. Padova,1972

3. Sur la théorie des anneaux excellents en caractéristique p, II

4. Two theorems on excellent rings

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1. Arithmetic duality for two-dimensional local rings with perfect residue field;Journal of Pure and Applied Algebra;2024-01

2. Excellent Rings and Regular Morphisms;Frontiers in Mathematics;2023

3. A uniform treatment of Grothendieck's localization problem;Compositio Mathematica;2022-01

4. Ideal-adic completion of quasi-excellent rings (after Gabber);Kyoto Journal of Mathematics;2021-09-01

5. Catenary Local Rings with Geometrically Normal Formal Fibers;Algebra, Arithmetic and Geometry with Applications;2004

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