Category:Algebras
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This category contains results about algebras over rings and fields in the context of Abstract Algebra.
Definitions specific to this category can be found in Definitions/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 26 subcategories, out of 26 total.
A
- Algebra Homomorphisms (empty)
- Alternative Algebras (3 P)
- Associators (1 P)
C
- Cayley-Dickson Construction (6 P)
- Conjugations on Algebras (empty)
D
E
- Examples of Algebras (empty)
F
G
L
- Lie Algebras (3 P)
M
N
- Non-Associative Algebras (1 P)
P
- Pointed Algebras (empty)
- Power-Associative Algebras (empty)
Q
- Quadratic Real Algebras (empty)
R
- Real Algebras (empty)
S
U
Pages in category "Algebras"
The following 10 pages are in this category, out of 10 total.