EXTENDING VALUATIONS TO ALGEBRAIC DIVISION-ALGEBRAS

被引：10

作者：

MAHDAVIHEZAVEHI, M

机构：

[1] Department of Mathematical Sciences, Sharif University of Technology, Tehran

来源：

COMMUNICATIONS IN ALGEBRA | 1994年 / 22卷 / 11期

关键词：

D O I：

10.1080/00927879408825077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a division algebra algebraic over its centre F. Given a (Krull) valuation upsilon on F, denote by V its valuation ring. It is shown that upsilon extends to a valuation on D if and only if (i) upsilon extends uniquely to each commutative subfield K of D with dim(F) K < infinity, (ii) Z(D') subset-of V*.

引用

页码：4373 / 4378

页数：6