Cancellable elements of the lattice of semigroup varieties
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-4362018-10-20T08:02:25Z Cancellable elements of the lattice of semigroup varieties Gusev, Sergey Valentinovich Skokov, Dmitry Vyacheslavovich Vernikov, Boris Munevich semigroup, variety, cancellable element of a lattice, modular element of a lattice 20M07; 08B15 We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice. Lugansk National Taras Shevchenko University Russian Foundation for Basic Research Ministry of Education and Science of the Russian Federation 2018-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436 Algebra and Discrete Mathematics; Vol 26, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/436/189 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/436/203 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/436/204 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-10-20T08:02:25Z |
| collection |
OJS |
| language |
English |
| topic |
semigroup variety cancellable element of a lattice modular element of a lattice 20M07 08B15 |
| spellingShingle |
semigroup variety cancellable element of a lattice modular element of a lattice 20M07 08B15 Gusev, Sergey Valentinovich Skokov, Dmitry Vyacheslavovich Vernikov, Boris Munevich Cancellable elements of the lattice of semigroup varieties |
| topic_facet |
semigroup variety cancellable element of a lattice modular element of a lattice 20M07 08B15 |
| format |
Article |
| author |
Gusev, Sergey Valentinovich Skokov, Dmitry Vyacheslavovich Vernikov, Boris Munevich |
| author_facet |
Gusev, Sergey Valentinovich Skokov, Dmitry Vyacheslavovich Vernikov, Boris Munevich |
| author_sort |
Gusev, Sergey Valentinovich |
| title |
Cancellable elements of the lattice of semigroup varieties |
| title_short |
Cancellable elements of the lattice of semigroup varieties |
| title_full |
Cancellable elements of the lattice of semigroup varieties |
| title_fullStr |
Cancellable elements of the lattice of semigroup varieties |
| title_full_unstemmed |
Cancellable elements of the lattice of semigroup varieties |
| title_sort |
cancellable elements of the lattice of semigroup varieties |
| description |
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/436 |
| work_keys_str_mv |
AT gusevsergeyvalentinovich cancellableelementsofthelatticeofsemigroupvarieties AT skokovdmitryvyacheslavovich cancellableelementsofthelatticeofsemigroupvarieties AT vernikovborismunevich cancellableelementsofthelatticeofsemigroupvarieties |
| first_indexed |
2025-12-02T15:26:42Z |
| last_indexed |
2025-12-02T15:26:42Z |
| _version_ |
1850410745582321664 |