On elementarity of radical classes of modules over noncommutative dedekind duo-domains

On elementarity of radical classes of modules over noncommutative dedekind duo-domains

We find some sufficient conditions for a radical class of an idempotent radical in the category of modules over a Dedekind left bounded duo-domain to be axiomatizable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii Theorem on axiomatizable radical classes of A...

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Bibliographic Details
Main Authors: Y.T Bilyak, M.Ya Komarnitskii
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2012-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
noncommutative dedekind domain
duo-domain
radical
ultraproduct
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/2148

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