Algebraic properties of $C_c(X)$

Nasrin Ghanavati, Mehrdad Namdari, Somayeh Soltanpour

Abstract


The article is focuses on the study of the theory of rings of continuous functions with countable images on a topological space $X$; the algebraic properties of $C_c(X)$. The connection between the properties of $X$ and the algebraic properties of $C_c(X)$ is investigated.


Keywords


Baer rings; B\'ezout rings; clean rings; Marot rings; p.f. rings; rings of continuous functions with countable images; von Neumann regular rings

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