Semiring and Involution Identities of Power Groups
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Semiring and Involution Identities of Power Groups
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| Автор |
Gusev, S. V.
Volkov, M. V. |
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| Тематика |
ADDITIVELY IDEMPOTENT SEMIRING
BLOCK-GROUP BRANDT MONOID FINITE BASIS PROBLEM HALL RELATION INVOLUTION SEMIGROUP POWER GROUP POWER SEMIRING |
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| Описание |
For every group G, the set of its subsets forms a semiring under set-theoretical union and element-wise multiplication, and forms an involution semigroup under and element-wise inversion. We show that if the group G is finite, non-Dedekind, and solvable, neither the semiring nor the involution semigroup admits a finite identity basis. We also solve the finite basis problem for the semiring of Hall relations over any finite set. © 2023 The Author(s). Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Russian Science Foundation, RSF: 22-21-00650 Supported by the Russian Science Foundation (grant No. 22-21-00650). |
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| Дата |
2024-04-05T16:31:30Z
2024-04-05T16:31:30Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Gusev, S & Volkov, M 2023, 'SEMIRING AND INVOLUTION IDENTITIES OF POWER GROUPS', Journal of the Australian Mathematical Society, Том. 115, № 3, стр. 354-374. https://doi.org/10.1017/S1446788722000374
Gusev, S., & Volkov, M. (2023). SEMIRING AND INVOLUTION IDENTITIES OF POWER GROUPS. Journal of the Australian Mathematical Society, 115(3), 354-374. https://doi.org/10.1017/S1446788722000374 1446-7887 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146537697&doi=10.1017%2fS1446788722000374&partnerID=40&md5=1df01b00b7f04418c6148f000e0d76db https://arxiv.org/pdf/2206.08761 http://elar.urfu.ru/handle/10995/130725 10.1017/S1446788722000374 85146537697 000916592000001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00650
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Cambridge University Press
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| Источник |
Journal of the Australian Mathematical Society
Journal of the Australian Mathematical Society |
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