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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