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

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Topology
Sufficient Conditions
Polarization
Intersection
Necessary Conditions

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Bhattacharjee, Papiya ; Dube, Themba. / On the sobriety of the inverse topology. In: Algebra Universalis. 2016 ; Vol. 76, No. 4. pp. 445-454.
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Bhattacharjee, P & Dube, T 2016, 'On the sobriety of the inverse topology', Algebra Universalis, vol. 76, no. 4, pp. 445-454. https://doi.org/10.1007/s00012-016-0414-z

On the sobriety of the inverse topology. / Bhattacharjee, Papiya; Dube, Themba.

In: Algebra Universalis, Vol. 76, No. 4, 01.12.2016, p. 445-454.

Research output: Contribution to journalArticle

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