Journal of Formalized Mathematics

Volume 2, 1990

University of Bialystok

Copyright (c) 1990
Association of Mizar Users

##
Linear Combinations in Right Module over Associative Ring

**
Michal Muzalewski**-
Warsaw University, Bialystok
**
Wojciech Skaba**-
Nicolaus Copernicus University, Torun

#### MML Identifier:
RMOD_4

The terminology and notation used in this paper have been
introduced in the following articles
[11]
[10]
[16]
[5]
[2]
[17]
[3]
[4]
[12]
[1]
[13]
[14]
[6]
[15]
[7]
[8]
[9]
Contents (PDF format)

#### Bibliography

- [1]
Grzegorz Bancerek.
Cardinal 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]
Agata Darmochwal.
Finite 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.
Construction of rings and left-, right-, and bi-modules over a ring.
*Journal of Formalized Mathematics*,
2, 1990.
- [8]
Michal Muzalewski and Wojciech Skaba.
Submodules and cosets of submodules in right module over associative ring.
*Journal of Formalized Mathematics*,
2, 1990.
- [9]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
*Journal of Formalized Mathematics*,
1, 1989.
- [10]
Andrzej Trybulec.
Enumerated sets.
*Journal of Formalized Mathematics*,
1, 1989.
- [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*,
Axiomatics, 1989.
- [12]
Andrzej Trybulec.
Function domains and Fr\aenkel operator.
*Journal of Formalized Mathematics*,
2, 1990.
- [13]
Wojciech A. Trybulec.
Vectors in real linear space.
*Journal of Formalized Mathematics*,
1, 1989.
- [14]
Wojciech A. Trybulec.
Linear combinations in real linear space.
*Journal of Formalized Mathematics*,
2, 1990.
- [15]
Wojciech A. Trybulec.
Pigeon hole principle.
*Journal of Formalized Mathematics*,
2, 1990.
- [16]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*,
1, 1989.
- [17]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*,
1, 1989.

Received October 22, 1990

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