English

Adequate complete intersection homomorphisms

Commutative Algebra 2025-08-26 v2

Abstract

We study three classes of local homomorphisms and their behavior with respect to the ascent and descent of the \emph{complete intersection} property. Crucially, they fall in between the already studied classes of complete intersection and quasi-complete intersection homomorphisms, while also repairing some of the issues these presented.

Keywords

Cite

@article{arxiv.2508.12967,
  title  = {Adequate complete intersection homomorphisms},
  author = {Samuel Alvite and Javier Majadas},
  journal= {arXiv preprint arXiv:2508.12967},
  year   = {2025}
}

Comments

Changed title. Extended Proposition 4.6