182 citations · 1.3k across the 103 of their papers we have counts for
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math.RA2015
Characteristics of Rota-Baxter Algebras
Li Guo, Houyi Yu
The characteristic is a simple yet important invariant of an algebra. In this paper, we study the characteristic of a Rota-Baxter algebra, called the Rota-Baxter characteristic. We…
math.RA2015★ 13 cited
Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras
Yong Zhang, Chengming Bai, Li Guo
This paper studies the concepts of a totally compatible dialgebra and a totally compatible Lie dialgebra, defined to be a vector space with two binary operations that satisfy indiv…
math.RA2015★ 5 cited
An Algebraic Study of Multivariable Integration and Linear Substitution
Markus Rosenkranz, Xing Gao, Li Guo
We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitab…