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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2007 Issue 4, Pages 11–22 (Mi adm231)
This article is cited in 1 paper

RESEARCH ARTICLE

On linear algebraic groups over pseudoglobal fields

Vasyl Andriychuk

Department of Mathematics and Mechanics, Lviv Ivan Franko University, Lviv, Ukraine

Abstract: Some properties of $R$–equivalence and weak approximation in linear algebraic group over global field are generalized to the case of linear algebraic group over an algebraic function field in one variable with pseudofinite constant field.

Keywords: linear algebraic group, Hasse principle, weak approximation, Tate–Shafarevich group, algebraic function field.

MSC: 11E72, 14G27, 20G35

Received: 18.10.2007
Revised: 10.04.2008

Language: English



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