Differential ring

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2020 Mathematics Subject Classification: Primary: 16W25 [MSN][ZBL]

A ring $A$ with one or more distinguished derivations (cf. Derivation in a ring). An element $a \in A$ such that $d(a) = 0$ for all these derivations $d$ is said to be a constant. The constants form a subring of $A$.

A differential field is a differential ring that is a field. The set of constants of a differential field is a subfield, the so-called field of constants.

How to Cite This Entry:
Differential field. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by L.A. Skornyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article