# Unit divisor

From Encyclopedia of Mathematics

An element of a ring (with a unit element 1) for which there exists an inverse, i.e. an element such that . In the theory of algebraic numbers and algebraic functions such elements are also called units.

#### Comments

The phrases divisor of unity or invertible element are also used for this notion.

**How to Cite This Entry:**

Unit divisor.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Unit_divisor&oldid=15747

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