31 citations · 118 across the 31 of their papers we have counts for
34 papers
Gerstenhaber algebra structure on the Hochschild cohomology ring of the Xu--Snashall algebra
Qi Long, Ziyang Shi, Guodong Zhou
Let be a finite dimensional algebra and let $\rmHH^*(A)$ be its Hochschild cohomology ring, which is a Gerstenhaber algebra. Denote by $\calN$ (resp. , $\calG$) the ideal (r…
Ştefan spectral sequence for faithfully flat Hopf Galois extensions is multiplicative
Liyu Liu, Hongguang Nie, Guodong Zhou +1
Let be a Hopf algebra with a bijective antipode over a field and be a flat right -Galois extension. Ştefan constructed a spectral sequence converging to th…
The Hochschild cohomlogy ring of a self-injective Nakayama algebra is a Batalin-Vilkovisky algebra
Xiuli Bian, Tomohiro Itagaki, Wen Kou +2
Lambre, Zhou and Zimmermann showed that the Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra. They asked whet…
Gröbner-Shirshov bases and linear bases for free multi-operated algebras over algebras with applications to differential Rota-Baxter algebras and integro-differential algebras
Zuan Liu, Zihao Qi, Yufei Qin +1
Quite much recent studies has been attracted to the operated algebra since it unifies various notions such as the differential algebra and the Rota-Baxter algebra. An -operated…
Koszul duality, minimal model and -structure for differential algebras with weight
Jun Chen, Li Guo, Kai Wang +1
A differential algebra with weight is an abstraction of both the derivation (weight zero) and the forward and backward difference operators (weight ). In 2010 Loday establis…
A localisation theorem for singularity categories of proper dg algebras
Haibo Jin, Dong Yang, Guodong Zhou
Given a recollement of three proper dg algebras over a noetherian commutative ring, e.g. three algebras which are finitely generated over the base ring, which extends one step down…