Differential ring

From Encyclopedia of Mathematics
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

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 ring. 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