11 citations · 23 across the 18 of their papers we have counts for
9 papers · 1 filter
Symmetry criteria for Hochschild extensions
Yang Han
We give two sufficient and necessary conditions for a Hochschild extension of a finite dimensional algebra by its dual bimodule and a Hochschild 2-cocycle to be a symmetric algebra…
Exact Hochschild extensions and deformed Calabi-Yau completions
Yang Han, Xin Liu, Kai Wang
We introduce the Hochschild extensions of dg algebras, which are -algebras. We show that all exact Hochschild extensions are symmetric Hochschild extensions, more precise…
Recollements and Hochschild theory
Yang Han
It is shown that a recollement of derived categories of algebras induces those of tensor product algebras and opposite algebras respectively, which is applied to clarify the relati…
Hochschild homology, global dimension, and truncated oriented cycles
Yang Han
It is shown that a bounded quiver algebra having a 2-truncated oriented cycle is of infinite Hochschild homology dimension and global dimension, which generalizes a result of Solot…
Superspecies and their representations
Yang Han, Deke Zhao
Superspecies are introduced to provide the nice constructions of all finite-dimensional superalgebras. All acyclic superspecies, or equivalently all finite-dimensional (gr-basic) g…
Construction of Koszul algebras by finite Galois covering
Yang Han, Deke Zhao
It is shown that, the quasi-Koszulities of algebras and modules are Morita invariance. A finite-dimensional -algebra with an action of is quasi-Koszul if and only if so…