Geodesic
Homomorphisms of algebras
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 345-364 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 08A02, 08A60, 08A62, 18B10, 18B99
Keywords: algebra; mono-unary algebra; homomorphism of algebras; $m$-decomposable mapping; mono-unary algebra with one acceptable and several nullary operations; mono-unary algebra with one binding and several nullary operations 
@article{CMJ_2002_52_2_a10,
     author = {Novotn\'y, Miroslav},
     title = {Homomorphisms of algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {345--364},
     year = {2002},
     volume = {52},
     number = {2},
     mrnumber = {1905442},
     zbl = {1010.08004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002_52_2_a10/}
}
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Novotný, Miroslav. Homomorphisms of algebras. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 345-364. http://geodesic.mathdoc.fr/item/CMJ_2002_52_2_a10/