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 |
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Article number | 25 |
Journal | Algebra Universalis |
Volume | 80 |
Issue number | 2 |
DOIs | |
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