Weyl代数模基扩张的Auslander正则性
Auslander regularity of norm based extensions of Weyl algebras
摘要：
首先证明了正特征域上的Weyl代数的模基扩张是局部Auslander正则的。然后证明了给定一个代数，它与Weyl代数是Zerkiki局部同构的，它的模基扩张是局部Auslander正则的当且仅当它与原Weyl代数是同构的.
英文摘要：
We first prove that for a Weyl algebra over a field of positive characteristic, its norm based extension is locally Auslander regular. We then prove that given an algebra which is Zariski locally isomorphic to the Weyl algebra, its norm based extension similarly defined is locally Auslander regular if and only if it is isomorphic to the original Weyl algebra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
