2017
Том 69
№ 9

All Issues

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

Bilyavs’ka S. I., Zabavskii B. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 6, pp 989-992.

Citation Example: Bilyavs’ka S. I., Zabavskii B. V. Singularities of the structure of two-sided ideals of a domain of elementary divisors // Ukr. Mat. Zh. - 2010. - 62, № 6. - pp. 854 – 856.

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