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

Michal Muzalewski

Warsaw University, Bialystok
Summary.

We define free modules and prove that every left module over
SkewField is free.
MML Identifier:
MOD_3
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[5]
[17]
[6]
[2]
[18]
[3]
[4]
[11]
[12]
[1]
[13]
[7]
[8]
[16]
[15]
[14]
[9]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Functions and their basic properties.
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]
Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
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 and Wojciech Skaba.
Linear independence in left module over domain.
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]
Wojciech A. Trybulec.
Linear combinations in real linear space.
Journal of Formalized Mathematics,
2, 1990.
 [14]
Wojciech A. Trybulec.
Linear combinations in vector space.
Journal of Formalized Mathematics,
2, 1990.
 [15]
Wojciech A. Trybulec.
Operations on subspaces in vector space.
Journal of Formalized Mathematics,
2, 1990.
 [16]
Wojciech A. Trybulec.
Subspaces and cosets of subspaces in vector space.
Journal of Formalized Mathematics,
2, 1990.
 [17]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [18]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received October 18, 1991
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