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Ring Theory Seminar - Louis Rowen

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March 16, 2018
5:00 pm - 5:40 pm
Cockins Hall 240

Title: Exterior Semi-Algebras

Speaker: Louis Rowen (Bar Ilan University, Ramat Gan, Israel)

Abstract: (Joint work with Letterio Gatto) In this talk, we review negation maps and "systems,'' and their application to linear algebra in a rather general framework that includes both tropical algebra and hyperfields. The usual definition of Grassmann (exterior) algebras generalizes directly to semi-algebras, and has a built-in negation function for elements of degree $\ge 2$, so the theory of systems can be applied directly to Gatto's theory, unifying results of linear algebra from different perspectives including the classical perspective.

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Seminar - Ring Theory