微分代数与Rota-Baxter代数中算子扩张、单子提升及分配律的分类
交换代数
2020-07-27 v1 范畴论
环与代数
摘要
推广微积分第一基本定理（FFTC）的代数表述，文献\cite{ZGK2}中考虑了一类涉及一对算子的约束。对于给定的约束，微分与Rota-Baxter算子的扩张、单子与余单子的提升以及混合分配律的存在性被证明是等价的。本文给出满足这些等价条件的约束的分类。
引用
@article{arxiv.2002.04466,
title = {Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota-Baxter algebras},
author = {Shilong Zhang and Li Guo and William Keigher},
journal= {arXiv preprint arXiv:2002.04466},
year = {2020}
}
备注
25 pages. arXiv admin note: substantial text overlap with arXiv:1703.01130