ON THE ESSENTIAL CP-SPACES

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Majidipour Saham; Mohammadian Rostam; NAMDARI MEHRDAD; Soltanpour Somayeh

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2022 | Volume:9 | Issue:2 Page(s): 97-111

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Title

ON THE ESSENTIAL CP-SPACES

Author(s)

Majidipour Saham | Mohammadian Rostam | NAMDARI MEHRDAD | Soltanpour Somayeh | Issue Writer Certificate

Keywords

Almost CP-point

c-basically disconnected

Essential almost CP-point

Essential CP-space

Fc-space

Quasi Fc-space

Space of minimal prime ideals

Von Neumann local regular ring

Abstract

Let Cc(X) be the functionally countable subalgebra of C(X). Essential CP-spaces are introduced and investigated algebraically and topologically. It is shown that if X is a proper Essential CP-space, then mCc(X) is compact if and only if f, g is a G, , where ,is the only non CP-point of X and mCc(X) is the Space of minimal prime ideals of Cc(X) which are not maximal. Quasi Fc-spaces, c-basically disconnect spaces, almost CP-spaces and almost Essential CP-spaces are introduced and studied via Essential CP-spaces. Finally, Cc(X) as a CSV-ring where X is an Essential CP-space is investigated.

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APA: Copy

Majidipour, Saham, Mohammadian, Rostam, NAMDARI, MEHRDAD, & Soltanpour, Somayeh. (2022). ON THE ESSENTIAL CP-SPACES. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 9(2), 97-111. SID. https://sid.ir/paper/1059634/en

Vancouver: Copy

Majidipour Saham, Mohammadian Rostam, NAMDARI MEHRDAD, Soltanpour Somayeh. ON THE ESSENTIAL CP-SPACES. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2022;9(2):97-111. Available from: https://sid.ir/paper/1059634/en

IEEE: Copy

Saham Majidipour, Rostam Mohammadian, MEHRDAD NAMDARI, and Somayeh Soltanpour, “ON THE ESSENTIAL CP-SPACES,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 9, no. 2, pp. 97–111, 2022, [Online]. Available: https://sid.ir/paper/1059634/en

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