# Algebra Seminar

Speaker:
Jeremy Edison
Topic:
"Invertible and I2 Bases for Field Extensions"

Abstract:
An algebra $A$ over a field $\mathbb{K}$ is said to be invertible if it has a basis $\mathcal{B}$ consisting solely of units.  If $\mathcal{B}$ is an invertible basis such that $\mathcal{B}^{-1}$ is again a basis, $A$ is said to be an I2 algebra.  It is currently not known whether an algebra which is invertible is necessarily I2.
If $\mathbb{L}/\mathbb{K}$ is any extension of fields, then $\mathbb{L}$ is clearly an invertible $\mathbb{K}$ algebra. In this talk we prove that if $\mathbb{K}$ is infinite, then $\mathbb{L}$ is in fact an I2 algebra.

Event Date:
February 12, 2018 - 3:30pm to 4:30pm
Location:
214 MLH
Calendar Category:
Seminar