Spectral norms on valued fields |
| |
| Authors: | Vicentiu Pasol Angel Popescu Nicolae Popescu |
| |
| Institution: | (1) Faculty of Mathematics, University of Bucharest, Str.Academiei no. 14, Bucharest, Romania , RO;(2) Department of Mathematics, Civil Engineering Faculty, Technical University of Civil Engineering of Bucharest, B-ul Lacul Tei 124, Bucharest 38, 72302, Romania , RO;(3) Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700, Bucharest, Romania (e-mail:nipopesc@stoilow.imar.ro) , RO |
| |
| Abstract: | Let be a perfect valued field, be an algebraic closure of
be an extension of to
and be the G-spectral norm on Let be an algebraic extension of K and be the completion of L relative to We associate to any element a real number and prove that if for all x in , then and is a zero-dimensional regular ring. We show that and prove that is algebraic over (with some additional conditions on K and L). We give a Galois type correspondence between the set of all closed K-subalgebras of and the subfields of L. We prove that is an algebraic closed and zero-dimensional regular ring.
Received: 3 March 1999; in final form: 21 February 2000 / Published online: 4 May 2001 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
