Varieties generated by a two-element algebra (here called two-generated varieties) have long constituted a surprisingly varied source of examples of algebraic properties. In this vein, we show that they have varied congruence intersection properties as well. A classification is given. It is found that for these varieties filtrality is equivalent to congruence distributivity.
Agliano', P., Baker, K.A. (1999). Congruence properties of two-generated varieties. In Contributions to General Algebra. Klagenfurt : Verlag Johannes Heyn.
Congruence properties of two-generated varieties
AGLIANO', PAOLO;
1999-01-01
Abstract
Varieties generated by a two-element algebra (here called two-generated varieties) have long constituted a surprisingly varied source of examples of algebraic properties. In this vein, we show that they have varied congruence intersection properties as well. A classification is given. It is found that for these varieties filtrality is equivalent to congruence distributivity.
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https://hdl.handle.net/11365/1014056