On a cancellation law for monounary algebras.
Completeness criteria and invariants for operation and transformation algebras.
Retract irreducibility of monounary algebras
DR-irreducibility of connected monounary algebras with a cycle
Retract irreducibility of connected monounary algebras. II
Antiatomic retract varieties of monounary algebras
Retract varieties of monounary algebras
DR-irreducibility of connected monounary algebras
Homogeneous monounary algebras
Representation of connected monounary algebras by means of irreducibles
The aim of the present paper is to describe all connected monounary algebras for which there exists a representation by means of connected monounary algebras which are retract irreducible in the class (or in ).
Subalgebra extensions of partial monounary algebras
For a subalgebra of a partial monounary algebra we define the quotient partial monounary algebra . Let , be partial monounary algebras. In this paper we give a construction of all partial monounary algebras such that is a subalgebra of and .
On a representation of monounary algebras
In this note we deal with a question concerning monounary algebras which is analogous to an open problem for partially ordered sets proposed by Duffus and Rival.
On ideal extensions of partial monounary algebras
In the present paper we introduce the notion of an ideal of a partial monounary algebra. Further, for an ideal of a partial monounary algebra we define the quotient partial monounary algebra . Let , be partial monounary algebras. We describe all partial monounary algebras such that is an ideal of and is isomorphic to .
Partially-2-homogeneous monounary algebras
This paper is a continuation of [5], where -homogeneous and -set-homogeneous algebras were defined. The definitions are analogous to those introduced by Fraïssé [2] and Droste, Giraudet, Macpherson, Sauer [1] for relational structures. In [5] we found all 2-homogeneous and all 2-set-homogeneous monounary algebras when the homogenity is considered with respect to subalgebras, to connected subalgebras and with respect to connected partial subalgebras, respectively. The results of [3], where all...
On directed convex subsets of partial monounary algebras
Endomorphisms and connected components of partial monounary algebras
Partial monounary algebras with common congruence relations
Systems of unary algebras with common endomorphisms. II
Systems of unary algebras with common endomorphisms. I
On congruence relations of monounary algebras. I
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