251 citations · 388 across the 12 of their papers we have counts for
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math.CO2014★ 26 cited
On the set of elasticities in numerical monoids
Thomas Barron, Christopher O'Neill, Roberto Pelayo
In an atomic, cancellative, commutative monoid , the elasticity of an element provides a coarse measure of its non-unique factorizations by comparing the largest and smallest va…
math.AC2014★ 15 cited
How Do You Measure Primality?
Christopher O'Neill, Roberto Pelayo
In commutative monoids, the -value measures how far an element is from being prime. This invariant, which is important in understanding the factorization theory of monoids, has…