Abelian Groups, Fields and Vector Spaces

Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989 Association of Mizar Users

Abelian Groups, Fields and Vector Spaces

Eugeniusz Kusak: Warsaw University, Bialystok
Wojciech Leonczuk: Warsaw University, Bialystok
Michal Muzalewski: Warsaw University, Bialystok

Summary.

This text includes definitions of the Abelian group, field and vector space over a field and some elementary theorems about them.

Supported by RPBP.III-24.C6.

MML Identifier: VECTSP_1

The terminology and notation used in this paper have been introduced in the following articles [4] [8] [6] [2] [3] [1] [5] [7]

Contents (PDF format)

Bibliography

[1] Czeslaw Bylinski. Binary operations. 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. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[5] Krzysztof Hryniewiecki. Basic properties of real numbers. Journal of Formalized Mathematics, 1, 1989.

[6] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[7] Wojciech A. Trybulec. Vectors in real linear space. Journal of Formalized Mathematics, 1, 1989.

[8] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

Received November 23, 1989

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