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20092026
most citedDeformations of Koszul Artin-Schelter Gorenstein algebras

11 citations · 20 across the 7 of their papers we have counts for

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8 papers · 1 filter

math.RA2026

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

Ji-Wei He, Xiaolan Yu

Let be a distributive set-theoretical solution of the Yang-Baxter equation and the associated Yang-Baxter algebra. We prove that is is…

math.RA2021★ 1 cited

Generalized Knörrer's Periodicity Theorem

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

Let be a noetherian Koszul Artin-Schelter regular algebra, and let be a central regular element of . The quotient algebra is usually called a (noncommutat…

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 results in an ideal of . This ideal 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 be a semisimple Hopf algebra, and let be a noetherian left -module algebra. If is a right -dense Galois extension, then the invariant subalgebra w…

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…