31 citations · 118 across the 31 of their papers we have counts for
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Gröbner-Shirshov bases and linear bases for free differential type algebras over algebras
Zihao Qi, Yufei Qin, Guodong Zhou
We study a question which can be roughly stated as follows: Given a (unital or nonunital) algebra together with a Gröbner-Shirshov basis , consider the free operated algebra…
Deformations and homotopy theory of Rota-Baxter algebras of any weight
Kai Wang, Guodong Zhou
This paper studies formal deformations and homotopy theory of Rota-Baxter algebras of any weight. We define an -algebra, which controls simultaneous deformations of assoc…
Poisson cohomology of plane Poisson structures with isolated singularities revisited
Zihao Qi, Guodong Zhou
Continuing a work of Ph.~Monnier, we determine the Gerstenhaber algebra structure over the Poisson cohomology groups for a large class of Poisson structures with isolated singulari…
Free objects and Gröbner-Shirshov bases in operated contexts
Zihao Qi, Yufei Qin, Kai Wang +1
This paper investigates algebraic objects equipped with an operator, such as operated monoids, operated algebras etc. Various free object functors in these operated contexts are ex…