Journal
CZECHOSLOVAK MATHEMATICAL JOURNAL
Volume 52, Issue 2, Pages 345-364Publisher
CZECHOSLOVAK MATHEMATICAL JOURNAL
DOI: 10.1023/A:1021782813143
Keywords
algebra; mono-unary algebra; homomorphism of algebras; m-decomposable mapping; mono-unary algebra with one acceptable and several nullary operations; monounary algebra with one binding and several nullary operations
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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 with a finite number of operations into an algebra of the same type can be described.
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