James J. Zhang

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4 papers · 1 filter

math.RA2007

Double Extension Regular Algebras of Type (14641)

James J. Zhang, Jun Zhang

We construct several families of Artin-Schelter regular algebras of global dimension four using double Ore extension and then prove that all these algebras are strongly noetherian,…

math.RA2007

Double Ore Extensions

James J. Zhang, Jun Zhang

A double Ore extension is a natural generalization of the Ore extension. We prove that a connected graded double Ore extension of an Artin-Schelter regular algebra is Artin-Schelte…

math.RA2007★ 1 cited

Reflexive Ideals in Iwasawa Algebras

Konstantin Ardakov, Feng Wei, James J. Zhang

Let $G$ be a torsionfree compact $p$ -adic analytic group. We give sufficient conditions on $p$ and $G$ which ensure that the Iwasawa algebra $Ω_{G}$ of $G$ has no non-trivial two-sid…

math.RA2007★ 4 cited

Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type

Konstantin Ardakov, Feng Wei, James J. Zhang

Let $Φ$ be a root system and let $Φ(\Zp)$ be the standard Chevalley $\Zp$-Lie algebra associated to $Φ$ . For any integer $t \geq 1$ , let $G$ be the uniform pro- $p$ group correspondi…