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A Decomposition Theorem for CK1 of Central Simple Algebras.

Authors :
Hazrat, Roozbeh
Wilson, Robert
Source :
Communications in Algebra; Dec2006, Vol. 34 Issue 12, p4573-4578, 6p
Publication Year :
2006

Abstract

Let A be a central simple algebra over its center F. Define CK1A = Coker(K1F → K1A). We prove that if A and B are F-central simple algebras of coprime degrees, then CK1(A⊗FB) = CK1A × CK1B. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
34
Issue :
12
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
23456889
Full Text :
https://doi.org/10.1080/00927870600936716