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20242026
most citedSweedler duality for Hom-(co)algebras and Hom-(co)modules

1 citations · 1 across the 14 of their papers we have counts for

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math.RA2026

Infinitesimal deformations of with a twisted Jacobi identity

Haoran Zhu

We show that whenever \[ [\,\cdot,\cdot]_t = [\,\cdot,\cdot]_0 + t[\,\cdot,\cdot]_1,\qquad α_t = \mathrm{id} + tα_1 \] define an infinitesimal Hom--Lie deformation of $\mathfrak{sl…

math.RA2025

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…

math.RA2024★ 1 cited

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…