English

Content and Q-sequences in Mixed Characteristic Local Rings

Commutative Algebra 2024-04-30 v2

Abstract

It is proved that a system of parameters is always a Q-sequence for several classes of mixed characteristic rings: rings in which the characteristic of the residue field is a nilpotent element, a mixed characteristic analogue of Stanley-Reisner rings, and a mixed characteristic analogue of semigroup rings and toric face rings.

Keywords

Cite

@article{arxiv.2310.19937,
  title  = {Content and Q-sequences in Mixed Characteristic Local Rings},
  author = {Olivia Strahan},
  journal= {arXiv preprint arXiv:2310.19937},
  year   = {2024}
}

Comments

Paper has been edited down to 21 pages, and a new section has been added

R2 v1 2026-06-28T13:06:34.841Z