# Balanced category

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 18A05 *Secondary:* 18A20 [MSN][ZBL]

A category in which any morphism that is both a monomorphism and an epimorphism is an isomorphism.

#### References

- Roy L. Crole, "Categories for types", Cambridge University Press (1993) ISBN 0-521-45701-7 Zbl 0837.68077
- P.T. Johnstone,"Topos theory", Academic Press (1977) MR0470019 Zbl 0368.18001

**How to Cite This Entry:**

Balanced category.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Balanced_category&oldid=51475