Filters of Coz(X)

Papiya Bhattacharjee, Kevin M. Drees

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this article we investigate filters of cozero sets for real-valued continuous functions, called coz-filters. Much is known for z-ultrafilters and their correspondence with maximal ideals of C(X). Similarly, a correspondence will be established between coz-ultrafilters and minimal prime ideals of C(X). We will further notice various properties of coz-ultrafilters in relation to P-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.

Original languageEnglish (US)
Pages (from-to)107-123
Number of pages17
JournalCategories and General Algebraic Structures with Applications
Volume7
Issue numberSpecialIssue
StatePublished - Jan 1 2017

Fingerprint

Ultrafilter
Topology
Prime Ideal
Filter
Correspondence
F-space
Lattice-ordered Group
P-space
Maximal Ideal
Continuous Function
kernel

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Discrete Mathematics and Combinatorics
  • Analysis

Cite this

Bhattacharjee, P., & Drees, K. M. (2017). Filters of Coz(X). Categories and General Algebraic Structures with Applications, 7(SpecialIssue), 107-123.
Bhattacharjee, Papiya ; Drees, Kevin M. / Filters of Coz(X). In: Categories and General Algebraic Structures with Applications. 2017 ; Vol. 7, No. SpecialIssue. pp. 107-123.
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Bhattacharjee, P & Drees, KM 2017, 'Filters of Coz(X)', Categories and General Algebraic Structures with Applications, vol. 7, no. SpecialIssue, pp. 107-123.

Filters of Coz(X). / Bhattacharjee, Papiya; Drees, Kevin M.

In: Categories and General Algebraic Structures with Applications, Vol. 7, No. SpecialIssue, 01.01.2017, p. 107-123.

Research output: Contribution to journalArticle

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Bhattacharjee P, Drees KM. Filters of Coz(X). Categories and General Algebraic Structures with Applications. 2017 Jan 1;7(SpecialIssue):107-123.