Minimal presentations of shifted numerical monoids

作者:Conaway Rebecca*; Gotti Felix; Horton Jesse; O'Neill Christopher; Pelayo Roberto; Pracht Mesa; Wissman Brian
来源:International Journal of Algebra and Computation, 2018, 28(1): 53-68.
DOI:10.1142/S0218196718500030

摘要

A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid S, consider the family of "shifted" monoids M-n obtained by adding n to each generator of S. In this paper, we examine minimal relations among the generators of M-n when n is sufficiently large, culminating in a description that is periodic in the shift parameter n. We explore several applications to computation and factorization theory, and improve a recent result of Thanh Vu from combinatorial commutative algebra.

  • 出版日期2018-2