Category:Vector Spaces

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This category contains results about Vector Spaces.
Definitions specific to this category can be found in Definitions/Vector Spaces.


Let $\left({K, +_K, \times_K}\right)$ be a division ring.

Let $\left({G, +_G}\right)$ be an abelian group.

Let $\left({G, +_G, \circ}\right)_K$ be a unitary $K$-module.


Then $\left({G, +_G, \circ}\right)_K$ is a vector space over $K$ or a $K$-vector space.


That is, a vector space is a unitary module whose scalar ring is a division ring.

Subcategories

This category has the following 6 subcategories, out of 6 total.

B

H

Q

S

T

Pages in category "Vector Spaces"

The following 35 pages are in this category, out of 35 total.