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 bimodules 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
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