Distributive and Lower-Modular Elements of the Lattice of Monoid Varieties
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Distributive and Lower-Modular Elements of the Lattice of Monoid Varieties
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| Автор |
Gusev, S. V.
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| Тематика |
512.532.2
DISTRIBUTIVE ELEMENT LATTICE OF VARIETIES LOWER-MODULAR ELEMENT MONOID VARIETY |
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| Описание |
In the lattice of semigroup varieties,the set of all neutral elements is finite,the set of all distributive elements is countably infinite,and the set of all lower-modular elements is uncountably infinite.It was established in 2018 thatthe lattice of monoid varietiescontains exactly three neutral elements.This article shows thatneutrality,distributivity,and lower-modularitycoincide in the lattice of monoid varieties.Thus,there exists only three varietiesthat are distributive and lower-modular elements of this lattice. © 2022, Pleiades Publishing, Ltd.
Ministry of Education and Science of the Russian Federation, Minobrnauka, (FEUZ–2020–0016) The author was supported by the Ministry of Science and Higher Education of the Russian Federation (Project FEUZ–2020–0016). |
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| Дата |
2024-04-08T11:07:34Z
2024-04-08T11:07:34Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Gusev, SV 2022, 'Distributive and Lower-Modular Elements of the Lattice of Monoid Varieties', Siberian Mathematical Journal, Том. 63, № 6, стр. 1069-1074. https://doi.org/10.1134/S0037446622060064
Gusev, S. V. (2022). Distributive and Lower-Modular Elements of the Lattice of Monoid Varieties. Siberian Mathematical Journal, 63(6), 1069-1074. https://doi.org/10.1134/S0037446622060064 0037-4466 Final All Open Access; Green Open Access https://arxiv.org/pdf/2201.08036 https://arxiv.org/pdf/2201.08036 http://elar.urfu.ru/handle/10995/131481 10.1134/S0037446622060064 85143632411 000896024900006 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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application/pdf
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| Издатель |
Pleiades Publishing
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| Источник |
Siberian Mathematical Journal
Siberian Mathematical Journal |
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