Isotopy of an algebra
id:
isotopy-of-an-algebra-171-15210555
title:
Isotopy of an algebra
text:
In mathematics, an isotopy from a possibly non-associative algebra A to another is a triple of bijective linear maps such that if xy = z then a(x)b(y) = c(z). This is similar to the definition of an isotopy of loops, except that it must also preserve the linear structure of the algebra. For a = b = c this is the same as an isomorphism. The autotopy group of an algebra is the group of all isotopies to itself, which contains the group of automorphisms as a subgroup. Isotopy of algebras was introdu
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Isotopy_of_an_algebra
date created:
2014-05-29T18:23:11Z
date modified:
2024-09-01T22:37:34Z
main entity:
{"identifier":"Q17098216","url":"https://www.wikidata.org/entity/Q17098216"}
image:
fields total:
13
integrity:
14