%0 Journal Article %A Noll, Walter %D 1992 %T Monoids %U https://kilthub.cmu.edu/articles/journal_contribution/Monoids/6478433 %R 10.1184/R1/6478433.v1 %2 https://kilthub.cmu.edu/ndownloader/files/11915003 %K Mathematical Sciences %X

These are sketchy lecture notes intended to show that the concepts of divisibility, prime elements and prime-decompositions are most efficiently treated in the framework of monoids. The results then apply both to the multiplicative monoid of the natural numbers and that of the monic polynomials over a field.

%I Carnegie Mellon University