Anneaux de valuation discrète et modules des différentielles

✍ Scribed by Michel André

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 269 KB
• Volume: 206
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1997.7415

✦ Synopsis

The module of Kahler differentials of a commutative G-algebra X is essentially described by two cardinals and two integers when X is a valuation ring and when the residue extension is good enough. The first cardinal and the two integers have been described by R. Berger and E. Kunz. The last cardinal deals with the divisible part of the torsion of the module of differentials. It is proved to be finite and given by an equality involving the Krull dimension and the module of imperfection.