Atlas home || Conferences | Abstracts | about Atlas

Sixth Annual Conference in Ordered Algebraic Structures
March 5-8, 2003
Department of Mathematics, Vanderbilt University
Nashville, TN, USA

Organizers
Jorge Martinez, University of Florida and Constantine Tsinakis, Vanderbilt University

View Abstracts
Conference Homepage

Neat Rings
by
Warren Wm. McGovern
Bowling Green State University

(Preliminary Work)

Let A be a commutative ring with identity. An element x in A is called clean if it may be written as the sum of a unit and an idempotent. A is said to be clean if every element of A is clean. It is known that every homomorphic image of a clean ring is clean.

We call a ring A neat if every non-trivial homomorphic image of A is clean. We shall discuss neat rings, specifically with an aim towards domains and their partially-ordered groups of divisibility.

Date received: December 15, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakg-08.