Real-algebraic function fields

1971 ◽  
pp. 83-111
Author(s):  
Norman L. Alling ◽  
Newcomb Greenleaf
Keyword(s):  
Function Fields ◽  
Algebraic Function ◽  
Algebraic Function Fields ◽  
Real Algebraic Function

scholarly journals On existence of tame Harrison map

2007 ◽  
Vol 57 (5) ◽  
Author(s):  
Przemysław Koprowski
Keyword(s):  
Class Group ◽  
Function Fields ◽  
Algebraic Function ◽  
The Other ◽  
Closed Field ◽  
Group Isomorphism ◽  
Witt Rings ◽  
Algebraic Function Fields ◽  
New Criteria ◽  
Real Algebraic Function

AbstractWe 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.

Elementary Abelianp-extensions of algebraic function fields

1991 ◽  
Vol 72 (1) ◽  
pp. 67-79 ◽  
Author(s):  
Arnaldo Garcia ◽  
Henning Stichtenoth
Keyword(s):  
Function Fields ◽  
Algebraic Function ◽  
Algebraic Function Fields
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