Congruence coherent distributive doublep-algebras
M. E. Adams, Mikhail J. Atallah, R. Beazer · Proceedings of the Edinburgh Mathematical Society · 1996
For distributive doublep-algebras, a close connection is established between being congruence coherent and congruence regular. Every congruence regular distributive doublep-algebra is congruence coherent. Even though every congruence coherent distributive doublep-algebra that has either a non-empty core or finite range is congruence regular, an example is given that is congruence coherent but not congruence regular.