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Ring Theory SeminarExport this event to calendar

Tuesday, October 27, 2015 — 11:30 AM EDT

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

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