On the Delta Set of a 3-generated Numerical Monoid

نویسندگان

  • S. T. CHAPMAN
  • DAVID STEINBERG
چکیده

Let S = 〈n1, n2, n3〉 be a numerical monoid of embedding dimension 3. We characterize the positive integers m such that m ∈ ∆(S). If n1 = 3, we show that {23 3 − 2} ⊆ ∆(S) ⊆ [1, n2+n3 3 − 2]∩N. We conclude by determining necessary and sufficient conditions on n1, n2 and n3 so that ∆(S) is a singleton.

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تاریخ انتشار 2009