Description of bilateral ideals in a class of noncommutative rings. II

• 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/5814
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For generalized Weyl algebras containing the universal enveloping algebra $U_{sl} (2, К)$ of the Lie algebra $sl (2)$ over a field with characteristic zero, bilateral ideals are classified. We show that a product of ideals is commutative and any proper ideal can be uniquely decomposed into a product...