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

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.


Principal Ideal Jacobson Radical Elementary Divisor Simple Ring Inverse Element 
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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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