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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2018 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188372 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Cancellable elements of the lattice of semigroup varieties / S.V. Gusev, D.V. Skokov, B.M. Vernikov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 34–46. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699021054771200 |
|---|---|
| author | Gusev, S.V. Skokov, D.V. Vernikov, B.M. |
| author_facet | Gusev, S.V. Skokov, D.V. Vernikov, B.M. |
| citation_txt | Cancellable elements of the lattice of semigroup varieties / S.V. Gusev, D.V. Skokov, B.M. Vernikov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 34–46. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T16:34:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188372 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:34:06Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gusev, S.V. Skokov, D.V. Vernikov, B.M. 2023-02-26T12:17:33Z 2023-02-26T12:17:33Z 2018 Cancellable elements of the lattice of semigroup varieties / S.V. Gusev, D.V. Skokov, B.M. Vernikov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 34–46. — Бібліогр.: 13 назв. — англ. 1726-3255 2010 MSC: Primary 20M07; Secondary 08B15 https://nasplib.isofts.kiev.ua/handle/123456789/188372 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. The work is partially supported by Russian Foundation for Basic Research (grant 17-01-00551) and by the Ministry of Education and Science of the Russian Federation (project 1.6018.2017). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Cancellable elements of the lattice of semigroup varieties Article published earlier |
| spellingShingle | Cancellable elements of the lattice of semigroup varieties Gusev, S.V. Skokov, D.V. Vernikov, B.M. |
| title | 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_short | Cancellable elements of the lattice of semigroup varieties |
| title_sort | cancellable elements of the lattice of semigroup varieties |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188372 |
| work_keys_str_mv | AT gusevsv cancellableelementsofthelatticeofsemigroupvarieties AT skokovdv cancellableelementsofthelatticeofsemigroupvarieties AT vernikovbm cancellableelementsofthelatticeofsemigroupvarieties |