Tame Fields and Tame Extensions
β Scribed by Sudesh K Khanduja
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 140 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Let V be a henselian valuation of any rank of a field K and let V be the extension of V to a fixed algebraic closure K of K. In this paper, it is proved that Ε½ . Ε½ . K,V is a tame field, i.e., every finite extension of K, V is tamely ramified, if and
case of the previous result, when K is a perfect field of nonzero characteristic was w proved in 1995, with the purpose of completing a result of James Ax S. K.
Ε½ .
x
π SIMILAR VOLUMES
The root discriminant of a number field of degree n is the nth root of the absolute value of its discriminant. Let R 0 (2m) be the minimal root discriminant for totally complex number fields of degree 2m, and put Ξ± 0 = lim infm R 0 (2m). Define R 1 (m) to be the minimal root discriminant of totally
## R e a k t i v d e s t i l l a t i o n 483 Durch den zeitlichen Temperaturverlauf w a r e n d der Desorption ist eine gute Moglichkeit zur Steuerung des Prozesses gegeben. Dariiber hinaus ist die Temperaturfiihrung fur eine Losungsmittelriickgewinnung gunstig anzusehen, da mit diesem Verfahren d
## Abstract We characterize tame pairs (__X__, __Y__) of FrΓ©chet spaces where either __X__ or __Y__ is a power series space. For power series spaces of finite type, we get the wellβknown conditions of (__DN__)β(Ξ©) type. On the other hand, for power series spaces of infinite type, surprisingly, tame