Center (algebra)
id:
center-algebra-260-13712328
title:
Center (algebra)
text:
The term center or centre is used in various contexts in abstract algebra to denote the set of all those elements that commute with all other elements. The center of a group G consists of all those elements x in G such that xg = gx for all g in G. This is a normal subgroup of G.
The similarly named notion for a semigroup is defined likewise and it is a subsemigroup.
The center of a ring R is the subset of R consisting of all those elements x of R such that xr = rx for all r in R. The center is a
brand slug:
wiki
category slug:
encyclopedia
description:
Index of articles associated with the same name
original url:
https://en.wikipedia.org/wiki/Center_(algebra)
date created:
date modified:
2020-09-08T07:21:00Z
main entity:
{"identifier":"Q191166","url":"https://www.wikidata.org/entity/Q191166"}
image:
fields total:
13
integrity:
14