Journal of Formalized Mathematics
Volume 9, 1997
University of Bialystok
Copyright (c) 1997 Association of Mizar Users

Algebra of Morphisms


Grzegorz Bancerek
Warsaw University, Bialystok

MML Identifier: CATALG_1

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

Contents (PDF format)

  1. Preliminaries
  2. Signature of a category
  3. Symbols of categorial signatures
  4. Signature homomorphism generated by a functor
  5. Algebra of morphisms

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. Institution of many sorted algebras. Part I: Signature reduct of an algebra. Journal of Formalized Mathematics, 8, 1996.
[6] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[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. Introduction to categories and functors. Journal of Formalized Mathematics, 1, 1989.
[10] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[11] Czeslaw Bylinski. Finite sequences and tuples of elements of a non-empty sets. Journal of Formalized Mathematics, 2, 1990.
[12] Artur Kornilowicz. Extensions of mappings on generator set. Journal of Formalized Mathematics, 7, 1995.
[13] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[14] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.
[15] Andrzej Nedzusiak. $\sigma$-fields and probability. Journal of Formalized Mathematics, 1, 1989.
[16] Beata Perkowska. Free many sorted universal algebra. 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. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[20] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[21] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[22] Wojciech A. Trybulec. Pigeon hole principle. Journal of Formalized Mathematics, 2, 1990.
[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.

Received January 28, 1997

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