Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996 Association of Mizar Users

## Inverse Limits of Many Sorted Algebras

Warsaw University, Bialystok

### Summary.

This article introduces the construction of an inverse limit of many sorted algebras. A few preliminary notions such as an ordered family of many sorted algebras and a binding of family are formulated. Definitions of a set of many sorted signatures and a set of signature morphisms are also given.

#### MML Identifier: MSALIMIT

The terminology and notation used in this paper have been introduced in the following articles [17] [11] [23] [18] [24] [8] [26] [9] [5] [22] [12] [19] [25] [10] [2] [7] [1] [3] [20] [15] [21] [6] [14] [16] [4] [13]

#### Contents (PDF format)

1. Inverse Limits of Many Sorted Algebras
2. Sets and Morphisms of Many Sorted Signatures

#### 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. Minimal signature for partial algebra. Journal of Formalized Mathematics, 7, 1995.
[5] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[6] Ewa Burakowska. Subalgebras of many sorted algebra. Lattice of subalgebras. Journal of Formalized Mathematics, 6, 1994.
[7] Czeslaw Bylinski. Binary operations. Journal of Formalized Mathematics, 1, 1989.
[8] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[9] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[10] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[11] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[12] Czeslaw Bylinski. A classical first order language. Journal of Formalized Mathematics, 2, 1990.
[13] Adam Grabowski. On the category of posets. Journal of Formalized Mathematics, 8, 1996.
[14] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[15] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.
[16] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[17] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[18] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.
[19] Andrzej Trybulec. Function domains and Fr\aenkel operator. Journal of Formalized Mathematics, 2, 1990.
[20] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[21] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[22] Wojciech A. Trybulec. Partially ordered sets. Journal of Formalized Mathematics, 1, 1989.
[23] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[24] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[25] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.
[26] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Journal of Formalized Mathematics, 1, 1989.