8 citations · 11 across the 11 of their papers we have counts for
11 papers
Local cohomology for Gorenstein homologically smooth DG algebras
Xuefeng Mao, Huan Wang
In this paper, we introduce the theory of local cohomology and local duality to Notherian connected cochain DG algebras. We show that the notion of local cohomology functor can be…
Cohomology algebras of a family of cochain DG skew polynomial algebras
Xuefeng Mao, Huan Wang, Gui Ren
Let be a connected cochain DG algebra such that its underlying graded algebra is the graded skew polynomial algebra $$k\langle x_1,x_2, x_3\rangle/…
DG Algebra structures on the quantum affine -space
Xuefeng Mao, Xingting Wang, Maoyun Zhang
Let be a connected cochain DG algebra, whose underlying graded algebra is the quantum affine -space . We compute all poss…
Homological properties of -dimensional DG Sklyanin algebras
Xuefeng Mao, Huan. Wang, Xingting Wang +2
In this paper, we introduce the notion of DG Sklyanin algebras, which are connected cochain DG algebras whose underlying graded algebras are Sklyanin algebras. Let be…
Some dimensions of DG polynomial algebras
Xuefeng Mao, Maoyun Zhang
Assume that is a cochain DG polynomial algebra such that its underlying graded algebra $\mathcal{A}^{#}$ is a polynomial algebra generated by degree elements.…
Isomorphism problem and homological properties of DG free algebras
X. -F. Mao, J. -F. Xie, Y. -N. Yang +1
A differential graded (DG for short) free algebra is a connected cochain DG algebra such that its underlying graded algebra is $$\mathcal{A}^{\#}=\k\langle x_1,x_2,\c…
Derived Picard groups of homologically smooth Koszul DG algebras
Xuefeng Mao, Yinuo Yang, Jiwei He
In this paper, we show that the derived Picard group of a homologically smooth Koszul connected cochain DG algebra is isomorphic to the opposite group of the derived Picard group o…
DG polynomial algebras and their homological properties
X. -F. Mao, X. -D. Gao, Y. -N. Yang +1
In this paper, we introduce and study differential graded (DG for short) polynomial algebras. In brief, a DG polynomial algebra is a connected cochain DG algebra such…
Nakayama automorphism of a class of graded algebras
J. -F. Lü, X. -F. Mao, J. J. Zhang
The Nakayama automorphism of a class of connected graded Artin-Schelter regular algebras is calculated explicitly.
Nakayama automorphism and applications
Jiafeng Lu, Xuefeng Mao, James J. Zhang
Nakayama automorphism is used to study group actions and Hopf algebra actions on Artin-Schelter regular algebras of global dimension three.
A note on homologically smooth connected cochain DG algebras
Xuefeng Mao, Jianfeng Xie
In this paper, we obtain two interesting results on homologically smooth connected cochain DG algebras. More precisely, we show that any Koszul DG module in is…