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

 

Algebra direct sum decomposition of $ C\sb R(X)$


Authors: R. D. Mehta and M. H. Vasavada
Journal: Proc. Amer. Math. Soc. 98 (1986), 71-74
MSC: Primary 46J10; Secondary 46E25
MathSciNet review: 848878
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Abstract: Let $ A$ and $ B$ be closed subalgebras of $ {C_R}(X)$ with $ 1 \in A$ and $ 1 \notin B$. We give necessary and sufficient conditions for $ A \oplus B = {C_R}(X)$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848878-4
PII: S 0002-9939(1986)0848878-4
Keywords: Direct sum, chain, set of constancy
Article copyright: © Copyright 1986 American Mathematical Society