On existence of tame Harrison map |
| |
Authors: | Przemysław Koprowski |
| |
Affiliation: | (1) Instytut Matematyki, Uniwersytet Śla̧ski, ul. Bankowa 14, PL-40-007 Katowice, Poland |
| |
Abstract: | 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. |
| |
Keywords: | Witt ring Witt equivalence Harrison isomorphism |
本文献已被 SpringerLink 等数据库收录! |