# Centre of a ring

From Encyclopedia of Mathematics

The collection of all elements of the ring that commute with every element, that is,

The centre of a ring is a subring containing together with every invertible element its inverse. The centre of a ring that is an algebra with a unit element over a field contains the ground field (see Central algebra).

**How to Cite This Entry:**

Centre of a ring.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Centre_of_a_ring&oldid=18869

This article was adapted from an original article by L.A. Skornyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article