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Quaternionic vector space

In noncommutative algebra, a branch of mathematics, a quaternionic vector space is a module over the quaternions. Since the quaternion algebra is division ring, these modules are referred to as "vector spaces". However, the quaternion algebra is noncommutative so we must distinguish left and right vector spaces. In left vector spaces, linear compositions…

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Noncommutative algebra Mathematics Module Quaternions Division ring

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Overview

Noncommutative algebra
Mathematics
Module Module (mathematics)
Quaternions Quaternion
Division ring
Noncommutative Noncommutative ring
Vector spaces over a field Vector space

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Quaternionic vector space

Nodes9

Edges8

Triples1

Avg. degree1.78

Density0.222222

Components1

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Quaternionic vector space

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is a · 1

Quaternionic vector space → module over the quaternions

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Important terminology

vector spaces algebra displaystyle space right quaternionic quaternion left vectors form linear noncommutative compositions sum also mathematics module quaternions branch

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Subject	Predicate	Object	Confidence	Src
Quaternionic vector space	is a	module over the quaternions	0.90	text

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