n-trivial extensions and multi Hasse-Schmidt derivations
Commutative Algebra
2026-05-21 v1 Algebraic Geometry
Abstract
We propose a generalization of Hasse-Schmidt derivations that is equivalent to the notion of n-trivial extension introduced by Anderson-Bennis-Fahid-Shaiea, in the same way that derivations are equivalent to trivial extensions. We provide many examples of this generalization and prove some of its basic properties.
Cite
@article{arxiv.2605.20664,
title = {n-trivial extensions and multi Hasse-Schmidt derivations},
author = {Paul Barajas and Daniel Duarte},
journal= {arXiv preprint arXiv:2605.20664},
year = {2026}
}