The lattice of quasivarietes of modules over a Dedekind ring

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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Bibliographic Details
Date:2019
Main Authors: Jedlička, Přemysl, Matczak, Katarzyna, Mućka, Anna
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2019
Subjects:
quasivarieties
lattices
modules
Dedekind rings
08A62
08C15
20N02
20N05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-487
record_format ojs
spelling 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
work_keys_str_mv AT jedlickapremysl thelatticeofquasivarietesofmodulesoveradedekindring
AT matczakkatarzyna thelatticeofquasivarietesofmodulesoveradedekindring
AT muckaanna thelatticeofquasivarietesofmodulesoveradedekindring
AT jedlickapremysl latticeofquasivarietesofmodulesoveradedekindring
AT matczakkatarzyna latticeofquasivarietesofmodulesoveradedekindring
AT muckaanna latticeofquasivarietesofmodulesoveradedekindring
first_indexed 2025-07-17T10:31:19Z
last_indexed 2025-07-17T10:31:19Z
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