JOURNAL ARTICLE
The corestriction of valued division algebras over Henselian fields. II
Year: 1995 Journal: Pacific Journal of Mathematics Vol: 170 (1)Pages: 83-103 Publisher: Mathematical Sciences Publishers
Abstract
When L/F is a tame extension of Henselian fields (i.e.char(F) { [L : JF]), we analyze the underlying division algebra C D of the corestriction coτ L , F (D) of a tame division algebra D over L with respect to the unique valuations of C D and D extending the valuations on F and L. We show that the value group of C D lies in the value group of D and for the center ofresidue division algebra, Z{W) CN
Keywords:
Mathematics Division (mathematics) Division algebra Algebra over a field Pure mathematics Arithmetic Subalgebra
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Topics
Rings, Modules, and Algebras
Physical Sciences → Mathematics → Algebra and Number Theory
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Polynomial and algebraic computation
Physical Sciences → Computer Science → Computational Theory and Mathematics
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