Description of two-sided ideals in a class of noncommutative rings. I

DOI10.1007/BF01060977zbMath0809.16001MaRDI QIDQ1332041

Vladimir V. Bavula

Publication date: 20 September 1994

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

automorphismannihilatorlattice of idealstwo-sided idealsidempotent idealsproduct of maximal idealscommuting relatively prime idealsgeneralized Weil algebraintersection of relatively prime idealsprime \(A\)-module

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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Cites Work

• Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
• Poisson manifolds and the Schouten bracket