Homogeneous monounary algebras
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Danica Jakubíková-Studenovská (2002)
Czechoslovak Mathematical Journal
Jaroslav Ježek, P. Marković, David Stanovský (2007)
Czechoslovak Mathematical Journal
We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.
Miroslav Novotný (1997)
Archivum Mathematicum
Miroslav Novotný (2002)
Czechoslovak Mathematical Journal
A construction of all homomorphisms of an algebra with a finite number of operations into an algebra of the same type is presented that consists in replacing algebras by suitable mono-unary algebras (possibly with some nullary operations) and their homomorphisms by suitable homomorphisms of the corresponding mono-unary algebras. Since a construction of all homomorphisms between two mono-unary algebras is known (see, e.g., [6], [7], [8]), a construction of all homomorphisms of an arbitrary algebra...
Oldřich Kopeček (1978)
Archivum Mathematicum
Oldřich Kopeček (1978)
Archivum Mathematicum
W. Lampe, J. Sichler, V. Trnková (1993)
Colloquium Mathematicae
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