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

Authors

  • Y.T Bilyak Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • M.Ya Komarnitskii Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

noncommutative Dedekind domain, duo-domain, radical, ultraproduct
Published online: 2012-12-27

Abstract

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 Abelian groups.

How to Cite
(1)
Bilyak, Y.; Komarnitskii, M. On Elementarity of Radical Classes of Modules over Noncommutative Dedekind Duo-Domains. Carpathian Math. Publ. 2012, 4, 197-203.