Yet Another Construction of Free Algebra

Grzegorz Bancerek

University of Bialystok, Shinshu University, Nagano

Artur Kornilowicz

University of Bialystok

This work has been partially supported by TYPES grant IST-1999-29001.

MML Identifier: MSAFREE3

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. Introduction to trees. Journal of Formalized Mathematics, 1, 1989.

[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. K\"onig's Lemma. Journal of Formalized Mathematics, 3, 1991.

[5] Grzegorz Bancerek. Sets and functions of trees and joining operations of trees. Journal of Formalized Mathematics, 4, 1992.

[6] Grzegorz Bancerek. Joining of decorated trees. Journal of Formalized Mathematics, 5, 1993.

[7] Grzegorz Bancerek. Terms over many sorted universal algebra. Journal of Formalized Mathematics, 6, 1994.

[8] Grzegorz Bancerek. Translations, endomorphisms, and stable equational theories. Journal of Formalized Mathematics, 8, 1996.

[9] Grzegorz Bancerek. Algebra of morphisms. Journal of Formalized Mathematics, 9, 1997.

[10] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.

[11] Grzegorz Bancerek and Piotr Rudnicki. On defining functions on trees. Journal of Formalized Mathematics, 5, 1993.

[12] Ewa Burakowska. Subalgebras of many sorted algebra. Lattice of subalgebras. Journal of Formalized Mathematics, 6, 1994.

[13] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[14] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[15] Patricia L. Carlson and Grzegorz Bancerek. Context-free grammar --- part I. Journal of Formalized Mathematics, 4, 1992.

[16] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.

[17] Artur Kornilowicz. Extensions of mappings on generator set. Journal of Formalized Mathematics, 7, 1995.

[18] Artur Kornilowicz. Equations in many sorted algebras. Journal of Formalized Mathematics, 9, 1997.

[19] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[20] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.

[21] Yatsuka Nakamura, Piotr Rudnicki, Andrzej Trybulec, and Pauline N. Kawamoto. Preliminaries to circuits, I. Journal of Formalized Mathematics, 6, 1994.

[22] Andrzej Nedzusiak. $\sigma$-fields and probability. Journal of Formalized Mathematics, 1, 1989.

[23] Beata Perkowska. Free many sorted universal algebra. Journal of Formalized Mathematics, 6, 1994.

[24] Andrzej Trybulec. Domains and their Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[25] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[26] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[27] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.

[28] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[29] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[30] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[31] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[32] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.