Volume 6, 1994

University of Bialystok

Copyright (c) 1994 Association of Mizar Users

**Artur Kornilowicz**- Institute of Mathematics, Warsaw University, Bialystok

- The aim of the article is to check the compatibility of the automorphisms of universal algebras introduced in [10] and the corresponding concept for many sorted algebras introduced in [11].

- On the Group of Automorphisms of Universal Algebra
- Some Properties of Many Sorted Functions
- On the Group of Automorphisms of Many Sorted Algebra
- On the Relationship of Automorphisms of 1-sorted and Many Sorted Algebras

- [1]
Grzegorz Bancerek.
K\"onig's theorem.
*Journal of Formalized Mathematics*, 2, 1990. - [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
*Journal of Formalized Mathematics*, 1, 1989. - [3]
Ewa Burakowska.
Subalgebras of the universal algebra. Lattices of subalgebras.
*Journal of Formalized Mathematics*, 5, 1993. - [4]
Czeslaw Bylinski.
Binary operations.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [6]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [7]
Czeslaw Bylinski.
Partial functions.
*Journal of Formalized Mathematics*, 1, 1989. - [8]
Czeslaw Bylinski.
Some basic properties of sets.
*Journal of Formalized Mathematics*, 1, 1989. - [9]
Adam Grabowski.
The correspondence between homomorphisms of universal algebra \& many sorted algebra.
*Journal of Formalized Mathematics*, 6, 1994. - [10]
Malgorzata Korolkiewicz.
Homomorphisms of algebras. Quotient universal algebra.
*Journal of Formalized Mathematics*, 5, 1993. - [11]
Malgorzata Korolkiewicz.
Homomorphisms of many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [12]
Jaroslaw Kotowicz, Beata Madras, and Malgorzata Korolkiewicz.
Basic notation of universal algebra.
*Journal of Formalized Mathematics*, 4, 1992. - [13]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
*Journal of Formalized Mathematics*, 1, 1989. - [14]
Beata Madras.
Product of family of universal algebras.
*Journal of Formalized Mathematics*, 5, 1993. - [15]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [16]
Andrzej Trybulec.
Function domains and Fr\aenkel operator.
*Journal of Formalized Mathematics*, 2, 1990. - [17]
Andrzej Trybulec.
Many-sorted sets.
*Journal of Formalized Mathematics*, 5, 1993. - [18]
Andrzej Trybulec.
Many sorted algebras.
*Journal of Formalized Mathematics*, 6, 1994. - [19]
Wojciech A. Trybulec.
Groups.
*Journal of Formalized Mathematics*, 2, 1990. - [20]
Wojciech A. Trybulec and Michal J. Trybulec.
Homomorphisms and isomorphisms of groups. Quotient group.
*Journal of Formalized Mathematics*, 3, 1991. - [21]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [22]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989.

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