Namespaces
Variants
Actions

Baer ring

From Encyclopedia of Mathematics
Revision as of 06:40, 18 October 2017 by Richard Pinch (talk | contribs) (Start article: Baer ring)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

A Baer ring is a ring $R$ in which every left annihilator is generated by an idempotent $e$. The analogous definition in terms of right annihilators is equivalent . A Baer ring is necessarily a left and a right Rickart ring.

Examples of Baer rings include integral domains, and matrix rings over a field.

See also: Baer semi-group.

References

  • Tsit-Yuen Lam, "Lectures on Modules and Rings" Graduate Texts in Mathematics 189 Springer (2012) ISBN 1461205255 Zbl 0911.16001
How to Cite This Entry:
Baer ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Baer_ring&oldid=42108
Retrieved from "https://encyclopediaofmath.org/index.php?title=Baer_ring&oldid=42108"