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

  • 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.
Published
25.06.2010
How to Cite
Bilyavs’kaS. I., and ZabavskiiB. V. “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 -, https://umj.imath.kiev.ua/index.php/umj/article/view/2916.
Section
Short communications