English

On the depth of simplicial affine semigroup rings

Commutative Algebra 2023-08-01 v1

Abstract

We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional cases which are closely related to the existence of a maximal element in certain Apery sets.

Keywords

Cite

@article{arxiv.2307.16501,
  title  = {On the depth of simplicial affine semigroup rings},
  author = {Raheleh Jafari and Ignacio Ojeda},
  journal= {arXiv preprint arXiv:2307.16501},
  year   = {2023}
}

Comments

15 pages, 1 figure