On modular field extensions
β Scribed by Murray Gerstenhaber
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 422 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we study the Kummer extensions __K__ β² of a power series field __K__ = __k__ ((__X__~1~, β¦, __X~r~__)), where __k__ is an algebraically closed field of arbitrary characteristic, with special emphasis in the case where __K__ β² is generated by a Puiseux power series. (Β© 2008
We prove that a finite localization of the tensor ring F X , where F is a finite k Galois or simple purely inseparable extension of k of degree n, gives rise to a ring S such that S m F is isomorphic to a full n = n matrix ring over a free ideal ring. k