Congruence of two-dimensional subspaces in \(M_2(K)\) (characteristic \(\neq 2\))
type: Item
instance of: scholarly article
title: Congruence of two-dimensional subspaces in \(M_2(K)\) (characteristic \(\neq 2\))
zbMATH Open document ID: 0929.16029
author: V. Pereyra
published in: Pacific Journal of Mathematics
publication date: 1999-11-10T00:00:00Z
review text: The structure and classification up to isomorphism of a naturally arising class of local rings is determined. Although the paper is primarily concerned with the case of a finite residue field \(K\), the results apply in fact over any field \(K\) of characteristic \(\neq 2\). The problem is shown to be equivalent to that of classifying two-dimensional subspaces of \(M_2(K)\) up to congruence, and it is in these terms that the question is addressed.
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 13M05
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 1344304
zbMATH Keywords: matrices
zbMATH Keywords: finite rings
zbMATH Keywords: local rings
zbMATH Keywords: two-dimensional subspaces
zbMATH Keywords: congruences
MaRDI profile type: Publication
full work available at URL: pjm.1999.188.225
OpenAlex ID: W1986856572
DOI: 10.2140/PJM.1999.188.225
description: scientific article; zbMATH DE number 1344304