FRI-326 Tau (sub-n) Factorization Over the Integers

Friday, October 12, 2012: 11:00 PM
Hall 4E/F (WSCC)
Nathan Bishop , St. Olaf College, Northfield, MN
Mary Bohlke , Loras College, Dubuque, IA
Aqeeb Sabree , Texas Southern University, Houston, TX
Alex Sistko , Bradley University, Peoria, IL
Dan Anderson, PhD , Mathematics, University of Iowa, Iowa City, IA
We introduce the theory of τn-factorizations, focusing on the set of integers. Using this theory, we then show which values of n make the set of integers a τn-atomic domain, meaning that each integer can be τn-factored into τn-irreducibles.