Filters of Coz(X)

Papiya Bhattacharjee, Kevin M. Drees

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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

All Science Journal Classification (ASJC) codes

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

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