Ring Theory Seminar

Tuesday, October 27, 2015 11:30 am - 11:30 am EDT (GMT -04:00)

Chris Schafhauser, Department of Pure Mathematics, University of Waterloo

“Noncommutative localisation”

If R is a commutative ring and x R is not a zero divisor, we can form a ring S = R[1/x] containing R such that x is invertible in R. This is called localisation, and the process R R[1/x] preserves nice homological and ring-theoretic properties. Things aren’t so nice for noncommutative rings — in fact there are many different ways to “localise” a noncommutative ring. Our goal now is to detail the Ore ring of fractions as it appears in Lam’s second volume, and emphasize its properties.

MC 5403