# Solution of the problem of the elementary divisor rings for PM* Bezout domains

- Written by B.Zabavsky, A.Gatalevych
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Professor

Department of Algebra and Logic

Faculty of Mechanics and Mathematics

Ivan Franko National University of L'viv

*Associate Professor**Department of Algebra and Logic** Faculty of Mechanics and Mathematics** Ivan Franko National University of L'viv*

**Abstract:**

* *

*It is proved that a commutative Bezout domain in which each nonzero prime ideal is contained in a unique maximal ideal is an elementary divisor ring.*