-гомоморфизмы колец
The automorphism group of unary algebras.
The automorphisms groups of symmetric algebras
The category of recursive functions
The minimal closed monoids for the Galois connection -
The minimal nontrivial endomorphism monoids of congruence lattices of algebras defined on a finite set are described. They correspond (via the Galois connection -) to the maximal nontrivial congruence lattices investigated and characterized by the authors in previous papers. Analogous results are provided for endomorphism monoids of quasiorder lattices .
Transferral of entailment in duality theory: dualisability
A number of new results that say how to transfer the entailment relation between two different finite generators of a quasi-variety of algebras is presented. As their consequence, a well-known result saying that dualisability of a quasi-variety is independent of the generating algebra is derived. The transferral of endodualisability is also considered and the results are illustrated by examples.
Transferral of entailment in duality theory II: strong dualisability
Results saying how to transfer the entailment in certain minimal and maximal ways and how to transfer strong dualisability between two different finite generators of a quasi-variety of algebras are presented. A new proof for a well-known result in the theory of natural dualities which says that strong dualisability of a quasi-variety is independent of the generating algebra is derived.
Transitively acting monoids of local automorphisms of locally finite trees
Turning retractions of an algebra into an algebra.