On the Trivial Many Sorted Algebras and Many Sorted Congruences

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

On the Trivial Many Sorted Algebras and Many Sorted Congruences

Artur Kornilowicz: Institute of Mathematics, Warsaw University, Bialystok

Summary.

This paper contains properties of many sorted functions between two many sorted sets. Other theorems describe trivial many sorted algebras. In the last section there are theorems about many sorted congruences, which are defined on many sorted algebras. I have also proved facts about natural epimorphism.

MML Identifier: MSUALG_9

The terminology and notation used in this paper have been introduced in the following articles [26] [8] [31] [30] [32] [34] [23] [33] [6] [25] [7] [3] [9] [27] [10] [1] [2] [4] [28] [29] [5] [11] [17] [24] [19] [21] [22] [18] [13] [14] [12] [16] [15] [20]

Contents (PDF format)

Preliminaries
On the Trivial Many Sorted Algebras
On the Many Sorted Congruences

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Received June 11, 1996

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