Sylvester domain
id:
sylvester-domain-312-10253780
title:
Sylvester domain
text:
In mathematics, a Sylvester domain, named after James Joseph Sylvester by Dicks & Sontag (1978), is a ring in which Sylvester's law of nullity holds. This means that if A is an m by n matrix, and B is an n by s matrix over R, then where ρ is the inner rank of a matrix. The inner rank of an m by n matrix is the smallest integer r such that the matrix is a product of an m by r matrix and an r by n matrix. Sylvester (1884) showed that fields satisfy Sylvester's law of nullity and are, therefore, Sy
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Sylvester_domain
date created:
date modified:
2023-02-09T09:20:38Z
main entity:
{"identifier":"Q7660847","url":"https://www.wikidata.org/entity/Q7660847"}
image:
fields total:
13
integrity:
13