15 citations · 40 across the 9 of their papers we have counts for
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math.AC2015★ 11 cited
On the set of catenary degrees of finitely generated cancellative commutative monoids
Christopher O'Neill, Vadim Ponomarenko, Reuben Tate +1
The catenary degree of an element of a cancellative commutative monoid is a nonnegative integer measuring the distance between the irreducible factorizations of . The ca…
math.AC2015★ 15 cited
Numerical semigroups on compound sequences
Claire Kiers, Christopher O'Neill, Vadim Ponomarenko
We generalize the geometric sequence to allow the copies of (resp. ) to all be different. We call the sequence $\{a_1a_2a_3\cdots…