Subalgebra lattices of algebras determined by two unary relations and an equivalence relation
Abstract
In this paper, we show the subalgebra lattice of an algebra determined by two nontrivial unary relations and a nontrivial equivalence relation on a finite set. Moreover, we use an algorithm to indicate isomorphic covering graphs of subalgebra lattices. This gives us a lower bound of the number of categorically equivalent classes of clones on a given finite set.
Fields of Study & Subjects
Advanced Algebra and Logic
Advanced Topology and Set Theory
semigroups and automata theory
Publication details
- Journal / source
- AIMS Mathematics
- Volume
- 11
- Issue
- 2
- Pages
- 3160–3170
- Publication date
- 1 January 2026