# Atom

From Encyclopedia of Mathematics

A minimal non-zero element of a partially ordered set with a zero 0, i.e. an element such that implies .

#### Comments

By a natural extension of meaning, the term atom is also used for an object of a category having no subobjects other than itself and the null subobject (cf. Null object of a category).

**How to Cite This Entry:**

Atom.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Atom&oldid=14251

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