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Ukrainian Mathematical Journal

, Volume 62, Issue 6, pp 989–992 | Cite as

Singularities of the structure of two-sided ideals of a domain of elementary divisors

  • S. I. Bilyavs’ka
  • B. V. Zabavs’kyi
Article

We prove that, in a domain of elementary divisors, the intersection of all nontrivial two-sided ideals is equal to zero. We also show that a Bézout domain with finitely many two-sided ideals is a domain of elementary divisors if and only if it is a 2-simple Bézout domain.

Keywords

Principal Ideal Jacobson Radical Elementary Divisor Simple Ring Inverse Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • S. I. Bilyavs’ka
    • 1
  • B. V. Zabavs’kyi
    • 1
  1. 1.Lviv National UniversityLvivUkraine

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