Systems of unary algebras with common endomorphisms. II
Endomorphisms and connected components of partial monounary algebras
Partial monounary algebras with common congruence relations
On congruence relations of monounary algebras. II
Systems of unary algebras with common endomorphisms. I
On congruence relations of monounary algebras. I
Intervals in partial monounary algebras
In this paper the notion of an interval in a partial monounary algebra is introduced and pairs , of partial monounary algebras are investigated such that each interval in is also an interval in , and conversely.
Retract varieties of monounary algebras
Retract irreducibility of connected monounary algebras. II
DR-irreducibility of connected monounary algebras
DR-irreducibility of connected monounary algebras with a cycle
Retract irreducibility of monounary algebras
Retract irreducibility of connected monounary algebras. I
Antiatomic retract varieties of 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 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 .
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 weakly rigid monounary algebras
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