Extreme modules over the Weyl algebra $A_n$

• Date: 1993
• Main Authors: Bavula, V. V., Бавула, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5920
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Certain classes of simple modules over generalized Weyl algebras (extreme modules, polynomial modules, and modules with strong $D$-torsion) are classified. For these algebras, analogs of the Bernshtein and Stafford theorems are proved.