Direct sum
id:
direct-sum-194-15368187
title:
Direct sum
text:
The direct sum is an operation between structures in abstract algebra, a branch of mathematics. It is defined differently, but analogously, for different kinds of structures. As an example, the direct sum of two abelian groups A and B is another abelian group A ⊕ B consisting of the ordered pairs where a ∈ A and b ∈ B . To add ordered pairs, we define the sum + to be ; in other words addition is defined coordinate-wise. For example, the direct sum R ⊕ R , where R is real coordinate space, is the
brand slug:
wiki
category slug:
encyclopedia
description:
Operation in abstract algebra composing objects into "more complicated" objects
original url:
https://en.wikipedia.org/wiki/Direct_sum
date created:
date modified:
2024-04-03T14:40:10Z
main entity:
{"identifier":"Q13582243","url":"https://www.wikidata.org/entity/Q13582243"}
image:
fields total:
13
integrity:
14