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

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Ukrainian Mathematical Journal Aims and scope

Abstract

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.

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References

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Authors and Affiliations

  1. Kiev University, USSR

    V. V. Bavula

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  1. V. V. Bavula
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 2, pp. 209–220, February, 1993.

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Bavula, V.V. Description of bilateral ideals in a class of noncommutative rings. I. Ukr Math J 45, 223–234 (1993). https://doi.org/10.1007/BF01060977

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  • DOI: https://doi.org/10.1007/BF01060977

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