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math.RA2022
Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
Kaiqiang Zhang, Xiankun Du
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which h…
math.AC2022
Images of locally finite -derivations of bivariate polynomial algebras
Hongyu Jia, Xiankun Du, Haifeng Tian
This paper presents an -derivation analogue of a result on derivations due to van den Essen, Wright and Zhao. We prove that the image of a locally finite -$\mathcal…