Math @ Duke

Publications [#221103] of Christopher O'Neill
Papers Accepted
 C. O'Neill, R. Pelayo, On the Linearity of OmegaPrimality in Numerical Monoids,
Journal of Pure and Applied Algebra
(2013) [arXiv:1309.7476]
(last updated on 2013/12/21)
Abstract: In an atomic, cancellative, commutative monoid, the omegavalue measures how far an element is from being prime. In numerical monoids, we show that this invariant exhibits eventual quasilinearity (i.e., periodic linearity). We apply this result to describe the asymptotic behavior of the omegafunction for a general numerical monoid and give an explicit formula when the monoid has embedding dimension 2.


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