Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Clean Endomorphisms
Submitted by jlongwor on Mon, 11/16/2009 - 3:27pm.
Nov 17 2009 - 4:00pm
Nov 17 2009 - 4:50pm
Speaker:
Keith Nicholson
Location:
MS 431A ring R is called clean if every element r has the form r = e + u where e is an idempotent (e² = e) and u is a unit (u?¹ ? R). We give a short survey of the history of this notion, present several examples, relate clean rings to other concepts, and conclude with an outline of some recent work on when the endomorphism ring of a module is clean.