English

Strongly inessential elements of a perfect height 2 ideal

Commutative Algebra 2011-12-14 v1

Abstract

In this paper we expand on some results exposed in a previous one, in which we introduced the concept of inessential and strongly inessential generators in a standard basis of a saturated homogeneous ideal. The appearance of strongly inessential elements seemed to be a non generic situation; in this paper we analyze their presence in a perfect height 2 ideal with the greatest number of generators, according to Dubreil's inequality.

Cite

@article{arxiv.1112.2875,
  title  = {Strongly inessential elements of a perfect height 2 ideal},
  author = {Giannina Beccari and Carla Massaza},
  journal= {arXiv preprint arXiv:1112.2875},
  year   = {2011}
}

Comments

22 pages

R2 v1 2026-06-21T19:50:29.766Z