𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Henselization of a valued division algebra

✍ Scribed by Pat Morandi


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
721 KB
Volume
122
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A note on valued division algebras
✍ Joachim GrΓ€ter πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 413 KB
Generalized Cocycles with Values in One-
✍ Patrick J. Morandi; B.A. Sethuraman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let ZrF be an inertial Galois extension of Henselian valued fields, and let D be a Z-central division algebra. Let G be a finite group acting on Z with fixed field F. We show that every generalized cocycle of G with values in the one-units Ε½ . of D is cohomologous to one of the form , 1 , or in othe

Henselβ€²s Lemma and the Divisibility by P
✍ F. Clarke πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 511 KB

We prove a version of Hensel's Lemma which applies to analytic functions on the \(p\)-adic integers. This is used to obtain results on the divisibility of Stirling numbers of the second kind which generalise results of Davis, 1995 Academic Press. lnc