Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991
Association of Mizar Users
Rings and Modules --- Part II
-
Michal Muzalewski
-
Warsaw University, Bialystok
Summary.
-
We define the trivial left module, morphism of left modules
and the field $Z_3$. We prove some elementary facts.
MML Identifier:
MOD_2
The terminology and notation used in this paper have been
introduced in the following articles
[12]
[11]
[5]
[14]
[3]
[4]
[1]
[13]
[6]
[8]
[10]
[7]
[9]
[2]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Czeslaw Bylinski.
Basic functions and operations on functions.
Journal of Formalized Mathematics,
1, 1989.
- [3]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Czeslaw Bylinski.
Functions from a set to a set.
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.
Midpoint algebras.
Journal of Formalized Mathematics,
1, 1989.
- [8]
Michal Muzalewski.
Construction of rings and left-, right-, and bi-modules over a ring.
Journal of Formalized Mathematics,
2, 1990.
- [9]
Michal Muzalewski.
Categories of groups.
Journal of Formalized Mathematics,
3, 1991.
- [10]
Bogdan Nowak and Grzegorz Bancerek.
Universal classes.
Journal of Formalized Mathematics,
2, 1990.
- [11]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
- [12]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [13]
Wojciech A. Trybulec.
Vectors in real linear space.
Journal of Formalized Mathematics,
1, 1989.
- [14]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received October 18, 1991
[
Download a postscript version,
MML identifier index,
Mizar home page]