Commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals

We investigate   commutative Bezout domains in which any nonzero prime  ideal is contained in a finite set of maximal ideals. In particular, we have described the class of such rings, which are  elementary divisor rings. A ring $R$ is called an elementary divisor ring if every matrix over $R$ has a...

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Bibliographic Details
Main Authors: B.V. Zabavsky, O.M. Romaniv
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2018-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1500