On z-, lters and coz-ultra, lters

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MOHAMADIAN R.

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Journal Paper

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:10 Page(s): 00-00

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Title

On z-, lters and coz-ultra, lters

Author(s)

MOHAMADIAN R. | Issue Writer Certificate

Keywords

Minimal prime z-

lter

essential z-

lter

coz-ultra

lter

Abstract

In this article we introduce the concepts of Minimal prime z-, lter, essential z-, lter and r-, lter. We investigate and study the be-havior of Minimal prime z-, lters and compare them with minimal prime ideals and coz-ultra, lters. We show that X is a P-space if and only if every , xed prime z-, lter is minimal prime. It is observed that if X is a @-space then X is a P-space if and only if Z[Mf ] is an r-, lter, for every f 2 C(X). The collection of all Minimal prime z-, lters will be topologized and it is proved that the space of Minimal prime z-, lters is homeomorphic with the space of coz-ultra, lters. Finally, it is obtained several properties and relations between the space of Minimal prime z-, lters and the space of minimal prime ideals in C(X).

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APA: Copy

MOHAMADIAN, R.. (2022). On z-, lters and coz-ultra, lters. JOURNAL OF MATHEMATICAL EXTENSION, 16(10), 00-00. SID. https://sid.ir/paper/1066626/en

Vancouver: Copy

MOHAMADIAN R.. On z-, lters and coz-ultra, lters. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(10):00-00. Available from: https://sid.ir/paper/1066626/en

IEEE: Copy

R. MOHAMADIAN, “On z-, lters and coz-ultra, lters,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 10, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066626/en

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