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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Closed countably generated structures in $C(X)$
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by B. Roth PDF
Trans. Amer. Math. Soc. 177 (1973), 191-197 Request permission

Abstract:

Let $C(X)$ be the space of continuous real or complex valued functions on a compact space X with the sup norm topology. In the present paper, the subalgebras, vector lattices, and vector lattice ideals of $C(X)$ which are closed and countably generated are characterized.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 177 (1973), 191-197
  • MSC: Primary 46E25; Secondary 46E05
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0317027-9
  • MathSciNet review: 0317027