Chajda, I., & Länger, H. (2025). On algebras whose congruences have a class that is a subuniverse. MISKOLC MATHEMATICAL NOTES, 26(1), 151–162. https://doi.org/10.18514/MMN.2025.4526
We study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of a congruence. In particular, we investigate Rees algebras, pseudo-Rees algebras and algebras having the one-block property. Many examples are included. At the end, we will also deal with quotient algebras.
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Project title:
Die vielen Facetten der Orthomodularität: I 4579-N (FWF - Österr. Wissenschaftsfonds)
CC BY 4.0
