On the sobriety of the inverse topology

Papiya Bhattacharjee, Themba Dube

Research output: Contribution to journalArticle

Abstract

An algebraic frame L with the finite intersection property (FIP) on compact elements is said to be polarised if every minimal prime element in it is complemented. In this note, we give a necessary and sufficient condition for the inverse topology on the set of minimal prime elements of such a frame to be sober. We also establish some sufficient conditions for sobriety when the polarisation condition is relaxed.

Original languageEnglish (US)
Pages (from-to)445-454
Number of pages10
JournalAlgebra Universalis
Volume76
Issue number4
DOIs
StatePublished - Dec 1 2016

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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