4 papers
SMB algebras II: On the Constraint Satisfaction Problem over Semilattices of Mal'cev Blocks
Petar MarkoviÄ, Miklós Maróti, Ralph McKenzie +1
We define a class of algebras, the semilattices of Mal'cev blocks (for short, SMB algebras). In a nutshell, these algebras are semilattices in which each element gets blown up into…
Connectivity notions on compatible digraphs in equational classes
GergŠGyenizse, Miklós Maróti, László Zádori
A digraph is called weakly connected, strongly connected, and extremely connected if any two vertices of are connected respectively by an oriented, a direct…
The filter of interpretability types of Hobby-McKenzie varieties is prime
Bertalan Bodor, GergŠGyenizse, Miklós Maróti +1
We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new cha…
Taylor is prime
Bertalan Bodor, GergŠGyenizse, Miklós Maróti +1
We study the Taylor varieties and obtain new characterizations of them via compatible reflexive digraphs. Based on our findings, we prove that in the lattice of interpretability ty…