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Singularities of the structure of two-sided ideals of a domain of elementary divisors |
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| Authors: | S I Bilyavs’ka B V Zabavs’kyi |
| Institution: | 1.Lviv National University,Lviv,Ukraine |
| 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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