JP Journal of Algebra, Number Theory and Applications
Volume 42, Issue 1, Pages 119 - 135
(April 2019) http://dx.doi.org/10.17654/NT042010119 |
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C(X) AS AN Lc(X)-MODULE
A. Mousavi and M. Paimann
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Abstract: In this article we introduce and study C(X), the rings of all real-valued continuous functions, as an Lc(X)-module. Some algebraic properties of this module related to topological properties of X are investigated. |
Keywords and phrases: locally functionally countable subalgebra, LCP-space, basically disconnected, P-space, finitely generated submodules.
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