Examples of Category Structures

Adam Grabowski

Warsaw University, Bialystok

Summary.

This article contains definitions of two category structures: the category of many sorted signatures and the category of many sorted algebras. Some facts about these structures are proved.

MML Identifier: MSINST_1

Contents (PDF format)

1. Category of Many Sorted Signatures
2. Category of Many Sorted Algebras

Bibliography

[1] Grzegorz Bancerek. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.

[2] Grzegorz Bancerek. Cartesian product of functions. Journal of Formalized Mathematics, 3, 1991.

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

[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] Czeslaw Bylinski. Finite sequences and tuples of elements of a non-empty sets. Journal of Formalized Mathematics, 2, 1990.

[10] Adam Grabowski. Inverse limits of many sorted algebras. Journal of Formalized Mathematics, 8, 1996.

[11] Artur Kornilowicz. On the group of automorphisms of universal algebra and many sorted algebra. Journal of Formalized Mathematics, 6, 1994.

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

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

[14] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[15] Michal Muzalewski and Wojciech Skaba. Three-argument operations and four-argument operations. Journal of Formalized Mathematics, 2, 1990.

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

[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] Andrzej Trybulec. Categories without uniqueness of \rm cod and \rm dom. Journal of Formalized Mathematics, 7, 1995.

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

[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.

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