English

A semigroup-theoretic linkage theory for relative ideals: principal and canonical links

Commutative Algebra 2026-04-17 v1

Abstract

We develop a semigroup-theoretic analogue of liaison for relative ideals of a numerical semigroup. Two parallel linkage notions are proposed: a theory based on translates of the semigroup and a theory based on translates of the canonical ideal.

Keywords

Cite

@article{arxiv.2604.14478,
  title  = {A semigroup-theoretic linkage theory for relative ideals: principal and canonical links},
  author = {Ignacio Ojeda},
  journal= {arXiv preprint arXiv:2604.14478},
  year   = {2026}
}

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8 pages