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math.RA2021
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…
math.RA2021★ 6 cited
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…