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math.NT2016★ 1 cited
On the periodicity of irreducible elements in arithmetical congruence monoids
Jacob Hartzer, Christopher O'Neill
Arithmetical congruence monoids, which arise in non-unique factorization theory, are multiplicative monoids consisting of all positive integers satsfying $n \equiv a…
math.NT2015
On the computation of factorization invariants for affine semigroups
Pedro A. García-Sánchez, Christopher O'Neill, Gautam Webb
We present several new algorithms for computing factorization invariant values over affine semigroups. In particular, we give (i) the first known algorithm to compute the delta set…