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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Stable rank of subalgebras of the ball algebras


Author: Rudolf Rupp
Journal: Proc. Amer. Math. Soc. 109 (1990), 781-786
MSC: Primary 46M20; Secondary 18F25, 19K99, 46J15
MathSciNet review: 1019754
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Abstract: We show that every subalgebra (in the algebraic sense) of $ {A^1}({B_n})$ satisfying the weak Nullstellensatz has stable rank less than or equal to $ n$. The results are sharp for $ n \leq 2$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1019754-2
PII: S 0002-9939(1990)1019754-2
Article copyright: © Copyright 1990 American Mathematical Society



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