The lattice of quasivarietes of modules over a Dedekind ring
In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given Dedekind ring. It also shows which subvarieties of these modules are deductive...
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| Datum: | 2019 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2019
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-4872019-04-09T04:54:46Z The lattice of quasivarietes of modules over a Dedekind ring Jedlička, Přemysl Matczak, Katarzyna Mućka, Anna quasivarieties, lattices, modules, Dedekind rings 08A62; 08C15; 20N02; 20N05 In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given Dedekind ring. It also shows which subvarieties of these modules are deductive (a variety is deductive if every subquasivariety is a variety). Lugansk National Taras Shevchenko University 2019-03-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487 Algebra and Discrete Mathematics; Vol 27, No 1 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487/pdf Copyright (c) 2019 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2019-04-09T04:54:46Z |
| collection |
OJS |
| language |
English |
| topic |
quasivarieties lattices modules Dedekind rings 08A62 08C15 20N02 20N05 |
| spellingShingle |
quasivarieties lattices modules Dedekind rings 08A62 08C15 20N02 20N05 Jedlička, Přemysl Matczak, Katarzyna Mućka, Anna The lattice of quasivarietes of modules over a Dedekind ring |
| topic_facet |
quasivarieties lattices modules Dedekind rings 08A62 08C15 20N02 20N05 |
| format |
Article |
| author |
Jedlička, Přemysl Matczak, Katarzyna Mućka, Anna |
| author_facet |
Jedlička, Přemysl Matczak, Katarzyna Mućka, Anna |
| author_sort |
Jedlička, Přemysl |
| title |
The lattice of quasivarietes of modules over a Dedekind ring |
| title_short |
The lattice of quasivarietes of modules over a Dedekind ring |
| title_full |
The lattice of quasivarietes of modules over a Dedekind ring |
| title_fullStr |
The lattice of quasivarietes of modules over a Dedekind ring |
| title_full_unstemmed |
The lattice of quasivarietes of modules over a Dedekind ring |
| title_sort |
lattice of quasivarietes of modules over a dedekind ring |
| description |
In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given Dedekind ring. It also shows which subvarieties of these modules are deductive (a variety is deductive if every subquasivariety is a variety). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2019 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487 |
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2025-07-17T10:31:19Z |
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2025-07-17T10:31:19Z |
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