Algebraic properties of $C_c(X)$

Authors

  • Nasrin Ghanavati Department of Mathematics, Faculty of mathematical sciences and computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
  • Mehrdad Namdari Department of Mathematics, Faculty of mathematical sciences and computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
  • Somayeh Soltanpour Department of Science, Petroleum University of Technology, Ahvaz, Iran

DOI:

https://doi.org/10.30495/jme.v17i0.2968

Keywords:

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

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.

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Published

2024-02-22

Issue

Vol. 17

Section

Vol. 17, No. 11, (2023)

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