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MATH495A

Factoring in Numerical Monoids

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