Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On a question ofMakar-Limanov


Author: Zinovy Reichstein
Journal: Proc. Amer. Math. Soc. 124 (1996), 17-19
MSC (1991): Primary 16S10; Secondary 20M05
MathSciNet review: 1286005
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Abstract: Let $K$ be an uncountable field, let $K \subset F$ be a field extension, and let $A$ be an associative $K$-algebra. We show that if $F \otimes _K A$ contains a non-commutative free algebra, then so does $A$.


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Zinovy Reichstein
Affiliation: Department of Mathematics, Oregon State University, Corvallis, Oregon 97331
Email: zinovy@math.orst.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03014-6
Received by editor(s): April 11, 1994
Received by editor(s) in revised form: June 24, 1994
Communicated by: Ken Goodearl
Article copyright: © Copyright 1996 American Mathematical Society