Ciro Santilli
OurBigBook.comA ring where multiplication is commutative and there is always an inverse.
A field can be seen as an Abelian group that has two group operations defined on it: addition and multiplication.
And then, besides each of the two operations obeying the group axioms individually, and they are compatible between themselves according to the distributive property.
Basically the nicest, least restrictive, 2-operation type of algebra.
Examples:
Ancestors
Incoming links
- Algebraic structure
- Bilinear map
- Commutative ring
- Complex number
- Distributive property
- Division ring
- Elliptic curve
- Elliptic curve point addition
- General linear group
- Isomorphism
- Lagrangian density
- Not every belongs to the elliptic curve over a non quadratically closed field
- Polynomial over a ring
- Ring
- Underlying field of a vector space