Characteristic (algebra)
id:
characteristic-algebra-183-1036703
title:
Characteristic (algebra)
text:
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest positive number of copies of the ring's multiplicative identity (1) that will sum to the additive identity (0). If no such number exists, the ring is said to have characteristic zero. That is, char(R) is the smallest positive number n such that:
- 1 + ⋯ + 1 ⏟ n summands = 0 if such a number n exists, and 0 otherwise.
brand slug:
wiki
category slug:
encyclopedia
description:
Smallest integer n for which n equals 0 in a ring
original url:
https://en.wikipedia.org/wiki/Characteristic_(algebra)
date created:
2001-11-28T09:45:03Z
date modified:
2024-09-06T16:59:53Z
main entity:
{"identifier":"Q836088","url":"https://www.wikidata.org/entity/Q836088"}
image:
fields total:
13
integrity:
15