27 citations · 52 across the 9 of their papers we have counts for
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math.RA2019★ 3 cited
A note on connected cofiltered coalgebras, conilpotent coalgebras and Hopf algebras
Xing Gao, Li Guo
This notes gives a proof that a connected coaugmented cofiltered coalgebra is a conilpotent coalgebra and thus a connected coaugmented cofiltered bialgebra is a Hopf algebra. This…
math.RA2016★ 1 cited
Rota's Classification Problem, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo
In this paper we revisit Rota's Classification Problem on classifying algebraic identities for linear operator. We reformulate Rota's Classification Problem in the contexts of rewr…
math.RA2014★ 27 cited
Averaging algebras, Schröder numbers, rooted trees and operads
Li Guo, Jun Pei
In this paper, we study averaging operators from an algebraic and combinatorial point of view. We first construct free averaging algebras in terms of a class of bracketed words cal…