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

Authors

  • S. I. Bilyavs’ka
  • B. V. Zabavskii

Abstract

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.

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Published

25.06.2010

Issue

Vol. 62 No. 6 (2010)

Section

Short communications

How to Cite

Bilyavs’ka, S. I., and B. V. Zabavskii. “Singularities of the Structure of Two-Sided Ideals of a Domain of Elementary Divisors”. Ukrains’kyi Matematychnyi Zhurnal, vol. 62, no. 6, June 2010, pp. 854 – 856, https://umj.imath.kiev.ua/index.php/umj/article/view/2916.