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

## On the Categories Without Uniqueness of \bf cod and \bf dom . Some Properties of the Morphisms and the Functors

Artur Kornilowicz
University of Bialystok

#### MML Identifier: ALTCAT_4

The terminology and notation used in this paper have been introduced in the following articles [8] [4] [14] [2] [3] [1] [7] [9] [10] [5] [11] [12] [6] [13]

#### Contents (PDF format)

1. Preliminaries
2. Some properties of the initial and terminal objects
3. The properties of the functors
4. The subcategories of the morphisms

#### Bibliography

[1] Czeslaw Bylinski. Binary operations. Journal of Formalized Mathematics, 1, 1989.
[2] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[3] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[4] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[5] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[6] Beata Madras-Kobus. Basic properties of objects and morphisms. Journal of Formalized Mathematics, 9, 1997.
[7] Michal Muzalewski and Wojciech Skaba. Three-argument operations and four-argument operations. Journal of Formalized Mathematics, 2, 1990.
[8] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[9] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[10] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[11] Andrzej Trybulec. Categories without uniqueness of \rm cod and \rm dom. Journal of Formalized Mathematics, 7, 1995.
[12] Andrzej Trybulec. Examples of category structures. Journal of Formalized Mathematics, 8, 1996.
[13] Andrzej Trybulec. Functors for alternative categories. Journal of Formalized Mathematics, 8, 1996.
[14] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.