English

Bar Code and Janet-like division

Combinatorics 2019-10-09 v1 Commutative Algebra

Abstract

Bar Codes are combinatorial objects encoding many properties of monomial ideals. In this paper we employ these objects to study Janet-like divisions. Given a finite set of terms U, from its Bar Code we can compute the Janet-like nonmultiplicative power of its elements and detect completeness of the set. Some observation on the computation of Janet-like bases conclude the work.

Keywords

Cite

@article{arxiv.1910.03572,
  title  = {Bar Code and Janet-like division},
  author = {Michela Ceria},
  journal= {arXiv preprint arXiv:1910.03572},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1805.09165, arXiv:1701.01781

R2 v1 2026-06-23T11:37:54.537Z