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math.RA2026
Extended -operators, extended perm Yang-Baxter equations and related structures
Siqi Zhang, Yuanchang Lin
In this paper, we introduce the notions of extended -operators on perm algebras, as generalization of -operators, and the extended perm Yang-Baxter equati…
math.RA2026
Post-Poisson algebras, extended -operators and extended Poisson Yang-Baxter equations
Yuanchang Lin, Dilei Lu
This paper introduces the extended -operators on Poisson algebras as a natural generalization of ordinary -operators, together with the extended Poisson Y…
math.RA2025
Quasi-triangular and factorizable Poisson bialgebras
Yuanchang Lin, Dilei Lu
In this paper, we introduce the notions of quasi-triangular and factorizable Poisson bialgebras. A factorizable Poisson bialgebra induces a factorization of the underlying Poisson…