MATH495A
Factoring in Numerical Monoids
Mathematics
BC
Subject code
MATH
Course Number
495A
Department(s)
Instructor(s)
S. Saccon
Course Long Title
Factoring in Numerical Monoids
Description
Integers enjoy a key property: by the Fundamental Theorem of Arithmetic, every nonzero integer can be factored uniquely into a product of prime integers. What can we say about factorizations into irreducible elements in other algebraic structures? Does uniqueness always hold? If not, which tools can we use to measure how different the factorizations of an element can be? In this seminar, we explore numerical monoids, and we investigate several factorization invariants to measure how far factorizations are from being unique. Prerequisite(s): MATH 301 or 309.
Writing Credit
W3
Class Restriction
Exclude First Years
Offering Frequency
One-time offering