Homomorphisms of algebras

Author: Novotný M.¹

Source: Czechoslovak Mathematical Journal, Volume 52, Number 2, June 2002 , pp. 345-364(20)

Publisher: Springer

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Abstract:

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.

Keywords: algebra; mono-unary algebra; homomorphism of algebras; m-decomposable mapping; mono-unary algebra with one acceptable and several; mono-unary algebra with one binding and several nu

Language: English

Document Type: Research article

Affiliations: 1: Faculty of Informatics, Masaryk University, Botanická 68 a, 602 00 Brno, Czech Republic, novotny@informatics.muni.cz

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