Homomorphisms of algebras

Miroslav Novotný

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 345-364
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Novotný, Miroslav. "Homomorphisms of algebras." Czechoslovak Mathematical Journal 52.2 (2002): 345-364. <http://eudml.org/doc/30705>.

@article{Novotný2002,
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.},
author = {Novotný, Miroslav},
journal = {Czechoslovak Mathematical Journal},
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; monounary algebra; homomorphism of algebras; -decomposable mapping; monounary algebra with one acceptable and several nullary operations; monounary algebra with one binding and several nullary operations},
language = {eng},
number = {2},
pages = {345-364},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homomorphisms of algebras},
url = {http://eudml.org/doc/30705},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Novotný, Miroslav
TI - Homomorphisms of algebras
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 345
EP - 364
AB - 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.
LA - eng
KW - 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; monounary algebra; homomorphism of algebras; -decomposable mapping; monounary algebra with one acceptable and several nullary operations; monounary algebra with one binding and several nullary operations
UR - http://eudml.org/doc/30705
ER -

References

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