Homomorphisms of heterogeneous algebras

Miroslav Novotný

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 415-428
  • ISSN: 0011-4642

Abstract

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A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].

How to cite

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Novotný, Miroslav. "Homomorphisms of heterogeneous algebras." Czechoslovak Mathematical Journal 52.2 (2002): 415-428. <http://eudml.org/doc/30711>.

@article{Novotný2002,
abstract = {A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].},
author = {Novotný, Miroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {heterogeneous algebra; relational structure; homomorphism; decomposable mapping; category of heterogeneous algebras; heterogeneous algebra; relational structure; homomorphism; decomposable mapping; category of heterogeneous algebras},
language = {eng},
number = {2},
pages = {415-428},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homomorphisms of heterogeneous algebras},
url = {http://eudml.org/doc/30711},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Novotný, Miroslav
TI - Homomorphisms of heterogeneous algebras
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 415
EP - 428
AB - A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].
LA - eng
KW - heterogeneous algebra; relational structure; homomorphism; decomposable mapping; category of heterogeneous algebras; heterogeneous algebra; relational structure; homomorphism; decomposable mapping; category of heterogeneous algebras
UR - http://eudml.org/doc/30711
ER -

References

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  6. Categories for the Working Mathematician, Springer, New York-Heidelberg-Berlin, 1971. (1971) Zbl0232.18001MR0354798
  7. Sur un problème de la théorie des applications, Publ. Fac. Sci. Univ. Masaryk Brno No 344 (1953/2), 53–64. (Czech) MR0061149
  8. Mono-unary algebras in the work of Czechoslovak mathematicians, Arch. Math. (Brno) 26 (1990), 155–164. (1990) MR1188275
  9. On some correspondences between relational structures and algebras, Czechoslovak Math.  J. 43 (118) (1993), 643–647. (1993) MR1258426
  10. Construction of all homomorphisms of mono- n -ary algebras, Czechoslovak Math.  J. 46 (121) (1996), 331–333. (1996) MR1388621
  11. 10.1023/A:1021782813143, Czechoslovak Math.  J 52 (127) (2002), 345–364. (2002) MR1905442DOI10.1023/A:1021782813143

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