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Congruences on topological spaces with an application to radical theory

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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… Click to show full 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: congruences topological; theory; application radical; spaces application; radical theory; topological spaces

Journal Title: Algebra universalis
Year Published: 2019

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