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math.AC2024
Improved Upper Bounds on Key Invariants of Erdős-Rényi Numerical Semigroups
Tristram Bogart, Santiago Morales
De Loera, O'Neill and Wilburne introduced a general model for random numerical semigroups in which each positive integer is chosen independently with some probability p to be a gen…
math.AC2024
Unboundedness of irreducible decompositions of numerical semigroups
Tristram Bogart, Seyed Amin Seyed Fakhari
We present two families of numerical semigroups and show that for each family, the number of required components in an irreducible decomposition cannot be bounded by any given inte…