182 citations · 1.3k across the 103 of their papers we have counts for
4 papers · 2 filters
Integral operators on lattices
Aiping Gan, Li Guo
As an abstraction and generalization of the integral operator in analysis, integral operators (known as Rota-Baxter operators of weight zero) on associative algebras and Lie algebr…
Rota's program on algebraic operators, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo, Huhu Zhang
Many years ago, Rota proposed a program on determining algebraic identities that can be satisfied by linear operators. After an extended period of dormant, progress on this program…
On differential lattices
Aiping Gan, Li Guo
This paper studies the differential lattice, defined to be a lattice equipped with a map that satisfies a lattice analog of the Leibniz rule for a derivation. Isomor…
Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees
Xigou Zhang, Anqi Xu, Li Guo
By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free Rota-Baxter algebra on angularly dec…