FILTERS OF COZ (X)

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BHATTACHARJEE PAPIYA; DREES KEVIN M.

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Journal: Categories and General Algebraic Structures with Applications Year:2017 | Volume:7 | Issue:SUPP. Page(s): 107-123

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Information Journal Paper

Title

FILTERS OF COZ (X)

Author(s)

BHATTACHARJEE PAPIYA | DREES KEVIN M. | Issue Writer Certificate

Keywords

COZERO SETSQ4

ULTRAFILTERSQ4

MINIMAL PRIME IDEALSQ4

P-SPACEQ4

F-SPACEQ4

INVERSE TOPOLOGYQ4

L-GROUPSQ4

Abstract

In this article we investigate filters of COZERO SETS for real-valued continuous functions, calledcoz-filters. Much is known for z-ultrafilters and their correspondence with maximal ideals of C (X). Similarly, a correspondence will be established betweencoz-ultrafilters and MINIMAL PRIME IDEALS of C (X). We will further notice various properties of coz-ultrafilters in relation toP-spaces and F-SPACEs. In the last two sections, the collection of cozultrafilters will be topologized, and then compared to the hull-kernel and the inverse topologies placed on the collection of MINIMAL PRIME IDEALS of C (X) and general lattice-ordered groups.

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APA: Copy

BHATTACHARJEE, PAPIYA, & DREES, KEVIN M.. (2017). FILTERS OF COZ (X). CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 7(SUPP.), 107-123. SID. https://sid.ir/paper/255406/en

Vancouver: Copy

BHATTACHARJEE PAPIYA, DREES KEVIN M.. FILTERS OF COZ (X). CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2017;7(SUPP.):107-123. Available from: https://sid.ir/paper/255406/en

IEEE: Copy

PAPIYA BHATTACHARJEE, and KEVIN M. DREES, “FILTERS OF COZ (X),” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 7, no. SUPP., pp. 107–123, 2017, [Online]. Available: https://sid.ir/paper/255406/en

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