Congruences on topological spaces with an application to radical theory

Stefan Veldsman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A congruence is defined on a topological space. This leads to the topological versions of the algebraic isomorphism theorems and some of their consequences. In addition, a Hoehnke radical of a topological space is defined as a congruence on the space and it is shown how this ties in with the existing radical theory of topological spaces (i.e., the theory of connectednesses and disconnectednesses).

Original languageEnglish
Article number25
JournalAlgebra Universalis
Volume80
Issue number2
DOIs
Publication statusPublished - Jun 1 2019
Externally publishedYes

Keywords

  • Connectedness
  • Disconnectedness
  • Hoehnke radical
  • Isomorphism theorems
  • Kurosh–Amitsur radical
  • Topological congruence
  • Topological space

ASJC Scopus subject areas

  • Algebra and Number Theory

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