AUM 𝑴𝒂𝒕𝒉 𝑪𝒍𝝁𝜷 Friday, April 07, 2017 4:00pm – 5:00pm Goodwyn Hall Room 201 Refreshments & Pizza: 3:30pm – 4:00pm Speaker: Dr. Ulrich Albrecht Title: Torsion-Freeness for Non-Commutative Rings Abstract: One of the basic properties of a real vector-space V is that vr = 0 yields v = 0 or r = 0 for all v in V and all real numbers r. Modules over an integral domain R which have the same property are called torsion-free. This talk will give an outline how to extend the notion of torsion-freeness from integral domains to non-commutative rings. Various non-equivalent notions will arise depending on which properties of torsion-free modules the generalization is based. We investigate for which rings all these notions are equivalent, and discuss some applications. Several examples will be given to illustrate our results. Open and free to all AUM students and faculty Snacks and refreshments provided