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Congruences on topological spaces with an application to radical theory

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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).

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  1. Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa

    Stefan Veldsman

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  1. Stefan Veldsman
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Correspondence to Stefan Veldsman.

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Supported in part by the National Research Foundation of South Africa (Grant Number 103351).

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Veldsman, S. Congruences on topological spaces with an application to radical theory. Algebra Univers. 80, 25 (2019). https://doi.org/10.1007/s00012-019-0598-0

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  • DOI: https://doi.org/10.1007/s00012-019-0598-0

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