Category:Vector Spaces

From ProofWiki
Jump to navigation Jump to search

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


Let $\struct {K, +_K, \times_K}$ be a division ring.

Let $\struct {G, +_G}$ be an abelian group.

Let $\struct {G, +_G, \circ}_K$ be a unitary $K$-module.


Then $\struct {G, +_G, \circ}_K$ 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 12 subcategories, out of 12 total.

B

E

G

H

N

Q

T

Pages in category "Vector Spaces"

The following 31 pages are in this category, out of 31 total.