Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991
Association of Mizar Users
Category of Left Modules

Michal Muzalewski

Warsaw University, Bialystok
Summary.

We define the category of left modules over an associative
ring. The carriers of the modules are included in a universum. The
universum is a parameter of the category.
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[5]
[13]
[14]
[2]
[3]
[12]
[6]
[4]
[11]
[9]
[7]
[8]
[1]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Basic functions and operations on functions.
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.
Introduction to categories and functors.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Michal Muzalewski.
Categories of groups.
Journal of Formalized Mathematics,
3, 1991.
 [8]
Michal Muzalewski.
Rings and modules  part II.
Journal of Formalized Mathematics,
3, 1991.
 [9]
Bogdan Nowak and Grzegorz Bancerek.
Universal classes.
Journal of Formalized Mathematics,
2, 1990.
 [10]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [11]
Andrzej Trybulec.
Function domains and Fr\aenkel operator.
Journal of Formalized Mathematics,
2, 1990.
 [12]
Wojciech A. Trybulec.
Vectors in real linear space.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [14]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received December 12, 1991
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