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 [1]. 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 deducti...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2019 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188420 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The lattice of quasivarietes of modules over a Dedekind ring / P. Jedlička, K. Matczak, A. Mućka // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 37–49. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862599612156608512 |
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| author | Jedlička, P. Matczak, K. Mućka, A. |
| author_facet | Jedlička, P. Matczak, K. Mućka, A. |
| citation_txt | The lattice of quasivarietes of modules over a Dedekind ring / P. Jedlička, K. Matczak, A. Mućka // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 37–49. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains [1]. 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).
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| first_indexed | 2025-11-27T21:48:36Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188420 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T21:48:36Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Jedlička, P. Matczak, K. Mućka, A. 2023-02-28T18:48:32Z 2023-02-28T18:48:32Z 2019 The lattice of quasivarietes of modules over a Dedekind ring / P. Jedlička, K. Matczak, A. Mućka // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 37–49. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC: 08A62, 08C15, 20N02, 20N05. https://nasplib.isofts.kiev.ua/handle/123456789/188420 In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains [1]. 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). The joint research within the framework of the Polish-Czech cooperation grant no. 7AMB13PL013 and no. 8829/R13/R14. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The lattice of quasivarietes of modules over a Dedekind ring Article published earlier |
| spellingShingle | The lattice of quasivarietes of modules over a Dedekind ring Jedlička, P. Matczak, K. Mućka, A. |
| title | 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_short | The lattice of quasivarietes of modules over a Dedekind ring |
| title_sort | lattice of quasivarietes of modules over a dedekind ring |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188420 |
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