College of Liberal Arts & Sciences

# Algebra Seminar

Speaker:

Peter Blanchard

Topic:

"Difference-Divisible Sets"

**Abstract:**

A set $A$ in a ring $R$ is {\it difference-divisible} if every subset $B$ (size $2$ or more) of $A$ has a difference $b-a$ which divides every other difference in $B$, i.e. for every $B$, the ideal generated by the differences of $B$ is generated by a difference of $B$. I will show that such sets exist in abundance with some surprises and I will describe the classification difference-divisible sets in some small algebraic number rings.

Event Date:

December 3, 2018 - 3:30pm to 4:30pm

Location:

218 MLH

Calendar Category:

Seminar