Division ring
id:
division-ring-320-5872027
title:
Division ring
text:
In algebra, a division ring, also called a skew field, is a nontrivial ring in which division by nonzero elements is defined. Specifically, it is a nontrivial ring in which every nonzero element a has a multiplicative inverse, that is, an element usually denoted a–1, such that a a–1 = a–1 a = 1. So, (right) division may be defined as a / b = a b–1, but this notation is avoided, as one may have a b–1 ≠ b–1 a. A commutative division ring is a field. Wedderburn's little theorem asserts that all fin
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic structure also called skew field
original url:
https://en.wikipedia.org/wiki/Division_ring
date created:
date modified:
2023-11-18T18:10:53Z
main entity:
{"identifier":"Q650741","url":"https://www.wikidata.org/entity/Q650741"}
image:
fields total:
13
integrity:
14