Hilbert 90 for Algebras with Conjugation

被引：1
|
作者：
Lundstrom, Patrik [1 ]
机构：
[1] Univ West, Dept Engn Sci, Trollhattan, Sweden
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2012年 / 15卷 / 01期
关键词：
Nonassociative algebras; Nondistributive algebras; Alternative algebras; Caley-Smith doubling; Hilbert; 90;
D O I：
10.1007/s10468-010-9235-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of the Conway-Smith doubling procedure. We use our version of Hilbert 90 to parametrize all solutions in ordered fields to the norm one equation for such algebras.
引用
收藏
页码：119 / 135
页数：17
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