Category:Definitions/Algebras
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This category contains definitions related to Algebras.
Related results can be found in Category:Algebras.
Let $R$ be a commutative ring.
An algebra over $R$ is an ordered pair $\struct {A, *}$ where:
- $A$ is an $R$-module
- $*: A^2 \to A$ is an $R$-bilinear mapping
Subcategories
This category has the following 25 subcategories, out of 25 total.
A
- Definitions/Associators (1 P)
C
D
F
G
L
- Definitions/Lie Algebras (2 P)
M
N
P
- Definitions/Pointed Algebras (1 P)
Q
R
- Definitions/Real Algebras (1 P)
S
U
Pages in category "Definitions/Algebras"
The following 40 pages are in this category, out of 40 total.
A
- Definition:Algebra Defined by Ring Homomorphism
- Definition:Algebra Homomorphism
- Definition:Algebra over Field
- Definition:Algebra over Field/Also defined as
- Definition:Algebra over Field/Also known as
- Definition:Algebra over Ring
- Definition:Alternating Bilinear Mapping
- Definition:Alternative Algebra
- Definition:Associative Algebra
- Definition:Associator