Abstract
For generalized Weyl algebras containing the universal enveloping algebra Usl (2,K) 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 of primary ideals.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45 No. 3, pp. 307–312, March, 1993.
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Bavula, V.V. Description of bilateral ideals in a class of noncommutative rings. II. Ukr Math J 45, 329–334 (1993). https://doi.org/10.1007/BF01061007
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DOI: https://doi.org/10.1007/BF01061007