论文标题
对差分代数和rota-baxter代数的操作员扩展，单调提升和分配定律的分类
Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota-Baxter algebras
论文作者
论文摘要
在\ cite {zgk2}中考虑了概括微积分（FFTC）的第一个基本定理（FFTC）的代数公式。对于给定的限制，差异和旋转式运算符的扩展，单调和共同的升降机以及混合分布定律的延伸效果被证明是等效的。在本文中，我们对满足这些等效条件的约束进行分类。
Generalizing the algebraic formulation of the First Fundamental Theorem of Calculus (FFTC), a class of constraints involving a pair of operators was considered in \cite{ZGK2}. For a given constraint, the existences of extensions of differential and Rota-Baxter operators, of liftings of monads and comonads, and of mixed distributive laws are shown to be equivalent. In this paper, we give a classification of the constraints satisfying these equivalent conditions.
