Ji-wei He

activity

20092026

most citedPertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

11 citations · 48 across the 18 of their papers we have counts for

collaborators

20 papers

math.RA2026

Yang-Baxter permutation group actions on distributive Yang-Baxter algebras

Ji-Wei He, Xiaolan Yu

Let $(X, r)$ be a finite square-free distributive set-theoretic solution of the Yang-Baxter equation, and let $A (X, r)$ be its associated Yang-Baxter algebra. We prove that…

math.QA2025

The Quantum Double of Hopf Algebras Realized via Partial Dualization and the Tensor Category of Its Representations

Ji-Wei He, Xiaojie Kong, Kangqiao Li

In this paper, we aim to study the (generalized) quantum double $K^{* cop} ⋈_{σ} H$ determined by a (skew) pairing between finite-dimensional Hopf algebras $K^{\ast\ma…

math.RA2021

Twisted Segre products

Ji-Wei He, Kenta Ueyama

We introduce the notion of the twisted Segre product $A \circ_{ψ} B$ of $Z$ -graded algebras $A$ and $B$ with respect to a twisting map $ψ$ . It is proved that if $A$ and $B$ are…

math.RA2021★ 1 cited

Generalized Knörrer's Periodicity Theorem

Ji-Wei He, Xin-Chao Ma, Yu Ye

Let $A$ be a noetherian Koszul Artin-Schelter regular algebra, and let $f \in A_{2}$ be a central regular element of $A$ . The quotient algebra $A / (f)$ is usually called a (noncommutat…

math.RA2020★ 1 cited

Pre-resolutions of noncommutative isolated singularities

Ji-Wei He, Yu Ye

We introduce the notion of right pre-resolutions (quasi-resolutions) for noncommutative isolated singularities, which is a weaker version of quasi-resolutions introduced by Qin-Wan…

math.RA2019★ 6 cited

Clifford deformations of Koszul Frobenius algebras and noncommutative quadrics

Ji-Wei He, Yu Ye

Let $E$ be a Koszul Frobenius algebra. A Clifford deformation of $E$ is a finite dimensional $Z_{2}$ -graded algebra $E (θ)$ , which corresponds to a noncommutative quadric hype…

math.RA2018

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…

math.RA2017★ 1 cited

Local cohomology associated to the radical of a group action on a noetherian algebra

Jiwei He, Yinhuo Zhang

An arbitrary group action on an algebra $R$ results in an ideal $r$ of $R$ . This ideal $r$ fits into the classical radical theory, and will be called the radi…

math.RA2017★ 2 cited

Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions

Jiwei He, Yinhuo Zhang

Let $H$ be a semisimple Hopf algebra, and let $R$ be a noetherian left $H$ -module algebra. If $R / R^{H}$ is a right $H^{*}$ -dense Galois extension, then the invariant subalgebra $R^{H}$ w…

math.RA2016

Noncommutative Auslander theorem

Y. -H. Bao, J. -W. He, J. J. Zhang

A version of Auslander theorem is proven for the following classes of noncommutative algebras: (a) noetherian PI local (or connected graded) algebras of finite injective dimension,…

math.RA2016★ 11 cited

Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

Y. -H. Bao, J. -W. He, J. J. Zhang

We study invariants and quotient categories of fixed subrings of Artin-Schelter regular algebras under Hopf algebra actions.

math.RA2016★ 2 cited

Hopf dense Galois extensions with applications

J. He, F. Van Oystaeyen, Y. Zhang

Let $H$ be a finite dimensional Hopf algebra, and let $A$ be a left $H$ -module algebra. Motivated by the study of the isolated singularities of $A^{H}$ and the endomorphism ring $\ma…

math.RA2013

PBW deformations of Koszul algebras over a nonsemisimple ring

Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang

Let $B$ be a generalized Koszul algebra over a finite dimensional algebra $S$ . We construct a bimodule Koszul resolution of $B$ when the projective dimension of $S_{B}$ equals 2. Usi…

math.RA2013★ 5 cited

Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras

Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang

Let $A$ be a Koszul Artin-Schelter regular algebra with Nakayama automorphism $ξ$ . We show that the Yoneda Ext-algebra of the skew polynomial algebra $A [z; ξ]$ is a trivial extensio…

math.RA2013★ 4 cited

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang

We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coh…

math.RA2013★ 11 cited

Deformations of Koszul Artin-Schelter Gorenstein algebras

Ji-Wei He, Fred van Oystaeyen, Yinhuo Zhang

We compute the Nakayama automorphism of a PBW-deformation of a Koszul Artin-Schelter Gorenstein algebra of finite global dimension, and give a criterion for an augmented PBW-deform…

math.RA2011

Piecewise-Koszul algebras

Jiafeng Lu, Jiwei He, Diming Lu

It is a small step toward the Koszul-type algebras. The piecewise-Koszul algebras are, in general, a new class of quadratic algebras but not the classical Koszul ones, simultaneous…

math.RA2010★ 2 cited

Hopf algebra actions on differential graded algebras and applications

Ji-Wei He, Fred Van Oystaeyen, Yinhuo Zhang

Let $H$ be a finite dimensional semisimple Hopf algebra, $A$ a differential graded (dg for short) $H$ -module algebra. Then the smash product algebra $A # H$ is a dg algebra. For any…

math.RA2010★ 1 cited

Derived $H$ -module endomorphism rings

Ji-Wei He, Fred Van Oystaeyen, Yinhuo Zhang

Let $H$ be a Hopf algebra, $A / B$ be an $H$ -Galois extension. Let $D (A)$ and $D (B)$ be the derived categories of right $A$ -modules and of right $B$ -modules respectively. An object $…

math.RA2009★ 1 cited

Cocommutative Calabi-Yau Hopf algebras and deformations

J. -W. He, F. Van Oystaeyen, Y. Zhang

The Calabi-Yau property of cocommutative Hopf algebras is discussed by using the homological integral, a recently introduced tool for studying infinite dimensional AS-Gorenstein Ho…

Yang-Baxter permutation group actions on distributive Yang-Baxter algebras

The Quantum Double of Hopf Algebras Realized via Partial Dualization and the Tensor Category of Its Representations

Twisted Segre products

Generalized Knörrer's Periodicity Theorem

Pre-resolutions of noncommutative isolated singularities

Clifford deformations of Koszul Frobenius algebras and noncommutative quadrics

Derived Picard groups of homologically smooth Koszul DG algebras

Local cohomology associated to the radical of a group action on a noetherian algebra

Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions

Noncommutative Auslander theorem

Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

Hopf dense Galois extensions with applications

PBW deformations of Koszul algebras over a nonsemisimple ring

Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Deformations of Koszul Artin-Schelter Gorenstein algebras

Piecewise-Koszul algebras

Hopf algebra actions on differential graded algebras and applications

Derived H-module endomorphism rings

Cocommutative Calabi-Yau Hopf algebras and deformations

Derived $H$ -module endomorphism rings