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

• 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/5800
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For generalized Weil algebras of degree 1 with base Dedekind ring, bilateral ideals are classified. The (noncommutative) algebras, in which the product of ideals is permutable and any proper ideal is uniquely decomposed into the product of prime ideals, are described.