Oct 20

Mathematics and Statistics Colloquium

Thu, October 20, 2016 • 4:00pm - 5:00pm (1h) • CMC 206

Title:  Unital Shelves

Abstract: A 'shelf' is a set equipped with a single binary operation whose single axiom of self-distributivity,

(x*y)*z = (x*z) *(y*z)

algebraically encodes the third Reidemeister move from classical knot theory. A 'unital shelf' has the additional structure of an element '1' that satisfies x*1 = x and 1*x = x.  Surprisingly, it turns out that the shelf operation for unital shelves is associative!  We will explore properties of unital shelves in this preliminary work with Mukherjee and Przytycki.

Event Contact: Sue Jandro

Event Summary

Mathematics and Statistics Colloquium
  • When
    • Thursday, October 20, 2016
    • 4:00pm - 5:00pm (1h)
  • Where
    • CMC 206
  • Event Contact
  • Intended For: Students, Faculty, Staff

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