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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of function rings with Boolean domain
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by Andrew B. Carson PDF
Proc. Amer. Math. Soc. 121 (1994), 13-24 Request permission

Abstract:

In §1 we characterize (effectively in terms of omitted logical types) those countable rings that can be represented as certain specified functions from their Boolean spectra to some member of a universal class of indecomposable rings that has the amalgamation property. In §2 we show that this characterization fails for uncountable rings and give an alternate (although less interesting) one that does hold for all cardinalities.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 13-24
  • MSC: Primary 16S60; Secondary 03C60
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1174487-0
  • MathSciNet review: 1174487