5 citations · 6 across the 2 of their papers we have counts for
3 papers
math.RA2021★ 5 cited
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…
math.RA2021
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…
math.KT2020★ 1 cited
Cohomology theory of averaging algebras, -structures and homotopy averaging algebras
Kai Wang, Guodong Zhou
This paper studies averaging algebras, say, associative algebras endowed with averaging operators. We develop a cohomology theory for averaging algebras and justify it by interpret…