DELTA SETS OF NUMERICAL MONOIDS USING NONMINIMAL SETS OF GENERATORS

作者：Chapman S T^*; Daigle Jay; Hoyer Rolf; Kaplan Nathan

来源：Communications in Algebra, 2010, 38(7): 2622-2634.

DOI：10.1080/00927870903045165

• Delta set
• Nonunique factorization
• Numerical monoid
• Numerical semigroup

Several recent articles have studied the structure of the delta set of a numerical monoid. We continue this work with the assumption that the generating set S chosen for the numerical monoid M is not necessarily minimal. We show that for certain choices of S, the resulting delta set can be made (in terms of cardinality) arbitrarily large or small. We close with a close analysis of the case where M = < n(1), n(2), in(1) + jn(2)> for non-negative i and j.

• 出版日期2010