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On the delta set and the Betti elements of a BF-monoid

On the delta set and the Betti elements of a BF-monoid

We examine the Delta set of a cancellative and reduced atomic monoid S where every set of lengths of the factorizations of each element in S is bounded. In particular, we show the connection between the elements of Δ(S) and the Betti elements of S. We prove how the minimum …