Divided powers and K\"ahler differentials
Commutative Algebra
2025-10-21 v2
Abstract
Divided power algebras form an important variety of non-binary universal algebras. We identify the universal enveloping algebra and K\"ahler differentials associated to a divided power algebra over a general commutative ring, simplifying and generalizing work of Roby and Dokas.
Cite
@article{arxiv.2502.05956,
title = {Divided powers and K\"ahler differentials},
author = {Aseel Kmail and Julia Kozak and Haynes Miller},
journal= {arXiv preprint arXiv:2502.05956},
year = {2025}
}
Comments
12 pp. To appear in Communications in Algebra