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math.RA2026
Gorenstein homological invariants and monoidal model categories of Hopf algebras
Wei Ren, Ruipeng Zhu
Let be a Hopf algebra over a field with a bijective antipode. It is proved that the Gorenstein global dimension of coincides with the Gorenstein projective dimension of…
math.RA2025
Cup Products on Hochschild Cohomology of Hopf-Galois Extensions.pdf
Liyu Liu, Wei Ren, Shengqiang Wang
In this paper, we give an explicit chain map, which induces the algebra isomorphism between the Hochschild cohomology and the -invariant subalgebra ${\bf…