On elementarily 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 axiomatisable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii Theorem on axiomatizable radical classes of a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/113 |
| _version_ | 1818308213648392192 |
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| author | Y. T. Bilyak M. Ya. Komarnitskii |
| author_facet | Y. T. Bilyak M. Ya. Komarnitskii |
| author_sort | Y. T. Bilyak |
| collection | DOAJ |
| description | 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 axiomatisable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii Theorem on axiomatizable radical classes of abelian groups. |
| first_indexed | 2024-12-13T07:10:42Z |
| format | Article |
| id | doaj.art-d0d7a050f59c489b8f84033e1da2dc02 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-13T07:10:42Z |
| publishDate | 2013-01-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-d0d7a050f59c489b8f84033e1da2dc022022-12-21T23:55:40ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-014219720310.15330/cmp.4.2.197-203117On elementarily of radical classes of modules over noncommutative dedekind duo-domainsY. T. Bilyak0M. Ya. Komarnitskii1Ivan Franko National University of LvivIvan Franko National University of LvivWe 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 axiomatisable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii Theorem on axiomatizable radical classes of abelian groups.http://journals.pu.if.ua/index.php/cmp/article/view/113 |
| spellingShingle | Y. T. Bilyak M. Ya. Komarnitskii On elementarily of radical classes of modules over noncommutative dedekind duo-domains Karpatsʹkì Matematičnì Publìkacìï |
| title | On elementarily of radical classes of modules over noncommutative dedekind duo-domains |
| title_full | On elementarily of radical classes of modules over noncommutative dedekind duo-domains |
| title_fullStr | On elementarily of radical classes of modules over noncommutative dedekind duo-domains |
| title_full_unstemmed | On elementarily of radical classes of modules over noncommutative dedekind duo-domains |
| title_short | On elementarily of radical classes of modules over noncommutative dedekind duo-domains |
| title_sort | on elementarily of radical classes of modules over noncommutative dedekind duo domains |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/113 |
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