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Filtered Modules over Discrete Valuation Domains

✍ Scribed by Fred Richman; Elbert A. Walker

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
275 KB
Volume
199
Category
Article
ISSN
0021-8693

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✦ Synopsis

We consider a unified setting for studying local valuated groups and cosetvaluated groups, emphasizing the associated filtrations rather than the values of elements. Stable exact sequences, projectives, and injectives are identified in the encompassing category, and in the category corresponding to coset-valuated groups.

📜 SIMILAR VOLUMES

Anneaux de valuation discrète et modules
Anneaux de valuation discrète et modules des différentielles
✍ Michel André 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 269 KB

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