On existence of tame Harrison map

Mathematica Slovaca

Przemysław Koprowski¹ 

关键词: Witt ring;    Witt equivalence;    Harrison isomorphism;   

DOI  :  10.2478/s12175-007-0036-1

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We present here two new criteria for existence of a tame Harrison map of two formally real algebraic function fields over a fixed real closed field of constants. The first criterion (c.f. Theorem 2.5) shows that a square class group isomorphism is a tame Harrison map if it induces an isomorphism of the coproduct rings of residue Witt rings. The other result (c.f. Proposition 3.5) associates a tame Harrison map to an integral quaternion-symbol equivalence.

【 授权许可】

Unknown