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differential algebra
Redirected from "differential fields".
Contents
Context
Algebra
- algebra, higher algebra
- universal algebra
- monoid, semigroup, quasigroup
- nonassociative algebra
- associative unital algebra
- commutative algebra
- Lie algebra, Jordan algebra
- Leibniz algebra, pre-Lie algebra
- Poisson algebra, Frobenius algebra
- lattice, frame, quantale
- Boolean ring, Heyting algebra
- commutator, center
- monad, comonad
- distributive law
Group theory
Ring theory
Module theory
Contents
Idea
A differential algebra is an associative algebra equipped with a derivation , typically required to satisfy .
If is a field one accordingly speaks of a differential field.
If is a graded algebra and is of degree 1 one speaks of a differential graded algebra.
Etc.
References
Last revised on August 21, 2024 at 01:43:50.
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