Remark on the identities of the grammic monoid with three generators
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| Заглавие |
Remark on the identities of the grammic monoid with three generators
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| Автор |
Volkov, M. V.
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| Тематика |
EQUATIONAL EQUIVALENCE
GRAMMIC MONOID PLACTIC MONOID SEMIGROUP IDENTITY |
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| Описание |
Grammic monoids have recently been introduced by Christian Choffrut in terms of the action of the free monoid over a fixed ordered alphabet X on the set of rows of Young tableaux filled with elements from X via Schensted’s insertion. For X= { a, b, c} with a< b< c, Choffrut has identified the grammic monoid on X with the quotient of the plactic monoid on X over the congruence generated by the pair (bacb, cbab). Since cbab≠ bcab in the latter monoid, the quotient is proper. We show that, nevertheless, the plactic and the grammic monoids with three generators satisfy the same identities. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
075-02-2022-877; Ministry of Education and Science of the Russian Federation, Minobrnauka The work was supported by the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center project No. 075-02-2022-877). |
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| Дата |
2024-04-05T16:17:58Z
2024-04-05T16:17:58Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Volkov, MV 2023, 'Remark on the identities of the grammic monoid with three generators', Semigroup Forum, Том. 106, № 1, стр. 332-337. https://doi.org/10.1007/s00233-022-10323-0
Volkov, M. V. (2023). Remark on the identities of the grammic monoid with three generators. Semigroup Forum, 106(1), 332-337. https://doi.org/10.1007/s00233-022-10323-0 0037-1912 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141971858&doi=10.1007%2fs00233-022-10323-0&partnerID=40&md5=83ccae09cbdf099bed3267f8fc7308a4 https://arxiv.org/pdf/2210.06017 http://elar.urfu.ru/handle/10995/130293 10.1007/s00233-022-10323-0 85141971858 000884610800001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Springer
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| Источник |
Semigroup Forum
Semigroup Forum |
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