Submodules of $C(X)\times \cdots \times C(X)$
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- by B. Roth PDF
- Proc. Amer. Math. Soc. 32 (1972), 543-548 Request permission
Abstract:
Let $C(X)$ be the ring of continuous real-valued functions on a compact Hausdorff space X with the sup norm topology. In the present paper, the closed submodules of the $C(X)$-module $C(X) \times \cdots \times C(X)$ are characterized and a necessary and sufficient condition for a submodule of $C(X) \times \cdots \times C(X)$ to be closed and finitely generated is established.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 543-548
- MSC: Primary 46E15; Secondary 13C99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293382-8
- MathSciNet review: 0293382