Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994 Association of Mizar Users

Homomorphisms of Many Sorted Algebras


Malgorzata Korolkiewicz
Warsaw University, Bialystok

Summary.

The aim of this article is to present the definition and some properties of homomorphisms of many sorted algebras. Some auxiliary properties of many sorted functions also have been shown.

MML Identifier: MSUALG_3

The terminology and notation used in this paper have been introduced in the following articles [11] [15] [16] [6] [8] [7] [4] [2] [14] [1] [3] [12] [9] [13] [5] [10]

Contents (PDF format)

  1. Preliminaries
  2. Homomorphisms of Many Sorted Algebras

Bibliography

[1] Grzegorz Bancerek. Curried and uncurried functions. Journal of Formalized Mathematics, 2, 1990.
[2] Grzegorz Bancerek. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.
[3] Grzegorz Bancerek. Cartesian product of functions. Journal of Formalized Mathematics, 3, 1991.
[4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[5] Ewa Burakowska. Subalgebras of many sorted algebra. Lattice of subalgebras. Journal of Formalized Mathematics, 6, 1994.
[6] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[7] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[8] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[9] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.
[10] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[11] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[12] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[13] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[14] Wojciech A. Trybulec. Pigeon hole principle. Journal of Formalized Mathematics, 2, 1990.
[15] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[16] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received April 25, 1994


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