Congruences on topological spaces with an application to radical theory

Stefan Veldsman

doi:10.1007/s00012-019-0598-0

Congruences on topological spaces with an application to radical theory

Stefan Veldsman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Article number	25
Journal	Algebra Universalis
Volume	80
Issue number	2
DOIs	https://doi.org/10.1007/s00012-019-0598-0
Publication status	Published - Jun 1 2019
Externally published	Yes

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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10.1007/s00012-019-0598-0

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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).",

keywords = "Connectedness, Disconnectedness, Hoehnke radical, Isomorphism theorems, Kurosh–Amitsur radical, Topological congruence, Topological space",

author = "Stefan Veldsman",

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AB - 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).

KW - Connectedness

KW - Disconnectedness

KW - Hoehnke radical

KW - Isomorphism theorems

KW - Kurosh–Amitsur radical

KW - Topological congruence

KW - Topological space

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Congruences on topological spaces with an application to radical theory

Abstract

Keywords

ASJC Scopus subject areas

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