Volume 5, 1993

University of Bialystok

Copyright (c) 1993 Association of Mizar Users

**Beata Perkowska**- Warsaw University, Bialystok

- A construction of the free universal algebra with fixed signature and a given set of generators.

- Preliminaries
- Free Universal Algebra --- General Notions
- Construction of Decorated Tree Structure for Free Universal Algebra
- Construction of Free Universal Algebra for Non-empty Set of Generators and Given Signature
- Construction of Free Universal Algebra and Set of Generators

- [1]
Grzegorz Bancerek.
K\"onig's Lemma.
*Journal of Formalized Mathematics*, 3, 1991. - [2]
Grzegorz Bancerek.
Sets and functions of trees and joining operations of trees.
*Journal of Formalized Mathematics*, 4, 1992. - [3]
Grzegorz Bancerek.
Joining of decorated trees.
*Journal of Formalized Mathematics*, 5, 1993. - [4]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Grzegorz Bancerek and Piotr Rudnicki.
On defining functions on trees.
*Journal of Formalized Mathematics*, 5, 1993. - [6]
Ewa Burakowska.
Subalgebras of the universal algebra. Lattices of subalgebras.
*Journal of Formalized Mathematics*, 5, 1993. - [7]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [8]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [9]
Czeslaw Bylinski.
Partial functions.
*Journal of Formalized Mathematics*, 1, 1989. - [10]
Czeslaw Bylinski.
Finite sequences and tuples of elements of a non-empty sets.
*Journal of Formalized Mathematics*, 2, 1990. - [11]
Patricia L. Carlson and Grzegorz Bancerek.
Context-free grammar --- part I.
*Journal of Formalized Mathematics*, 4, 1992. - [12]
Malgorzata Korolkiewicz.
Homomorphisms of algebras. Quotient universal algebra.
*Journal of Formalized Mathematics*, 5, 1993. - [13]
Jaroslaw Kotowicz, Beata Madras, and Malgorzata Korolkiewicz.
Basic notation of universal algebra.
*Journal of Formalized Mathematics*, 4, 1992. - [14]
Andrzej Trybulec.
Binary operations applied to functions.
*Journal of Formalized Mathematics*, 1, 1989. - [15]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [16]
Andrzej Trybulec.
Subsets of real numbers.
*Journal of Formalized Mathematics*, Addenda, 2003. - [17]
Wojciech A. Trybulec.
Pigeon hole principle.
*Journal of Formalized Mathematics*, 2, 1990. - [18]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [19]
Edmund Woronowicz.
Relations defined on sets.
*Journal of Formalized Mathematics*, 1, 1989.

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