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math.AG2026
Weierstrass semigroups at totally ramified places of degree one on Kummer extensions
Huachao Zhang, Chang-An Zhao
We explicitly describe the set of gaps and the Weierstrass semigroup at a totally ramified place of degree one on a Kummer extension defined by the affine equation ove…
math.RA2026
Reynolds Leibniz bialgebras of any weight
Tianshui Ma, Yuguang Ming, Chan Zhao
This paper studies bialgebraic structures associated with a Reynolds Leibniz algebra of weight , that is, a Leibniz algebra equipped with a Reynolds operator of weight . We f…
math.RA2026
Symmetric Rota-Baxter systems and applications
Chan Zhao, Haiying Li, Tianshui Ma
Rota-Baxter operators and bialgebras are closely connected in several applications, such as the Connes-Kreimer renormalization framework and the operator approach to the classical…