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Rota-Baxter type -operators on pseudoalgebras
Botong Gai, Shuanhong Wang
Let be a Hopf algebra. In this paper, we study a class of -operators on -pseudoalgebras, which resemble the Rota-Baxter -operator, and they are called Rota-Baxter type…
Radford -biproduct Theorem for Generalized Hom-crossed Products
Botong Gai, Shuanhong Wang
In this paper, we mainly provide a new approache to construct Hom-Hopf algebras. For this, we introduce and study the notion of a left -Hom-crossed product structure as a ge…
Matrices as graded BiHom-algebras and decompositions
Jiacheng Sun, Shuanhong Wang, Haoran Zhu
We present matrices as graded regular BiHom-associative algebras and study several features of their decompositions. More precisely, we introduce a notion of connection in the supp…
Sweedler duality for Hom-(co)algebras and Hom-(co)modules
Jiacheng Sun, Shuanhong Wang, Chi Zhang +1
We establish a dual version of infinite-dimensional Hom-algebras and Hom-modules by using the Sweedler duality construction. Additionally, linear morphisms between infinite-dimensi…