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ArticleOriginal scientific text

Title

An inverse matrix of an upper triangular matrix can be lower triangular

Authors 1

Affiliations

  1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-101 Gliwice, Poland

Abstract

In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.

Keywords

ENG
upper tringular invertible matrix, group of matrices, Dedekind-finite ring

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2002/22/2
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Pages:
161-166
Main language of publication
English
Published
2002

DOI: 10.7151/dmgaa.1055

Exact and natural sciences