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Semiring identities of finite inverse semigroups

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Заглавие Semiring identities of finite inverse semigroups
 
Автор Gusev, S. V.
Volkov, M. V.
 
Тематика ADDITIVELY IDEMPOTENT SEMIRING
BRANDT MONOID
FINITE BASIS PROBLEM
INVERSE SEMIGROUP
NATURAL ORDER
ROOK MONOID
 
Описание We study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that each additively idempotent semiring whose multiplicative reduct is a nontrivial rook monoid admits no finite identity basis, and so do almost all additively idempotent semirings whose multiplicative reducts are combinatorial inverse semigroups. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Russian Science Foundation, RSF: 22-21-00650
The authors are grateful to the anonymous referee for their remarks and constructive suggestions. The research presented in this paper was supported by the Russian Science Foundation (grant No. 22-21-00650).
 
Дата 2024-04-05T16:32:36Z
2024-04-05T16:32:36Z
2023
 
Тип Article
Journal article (info:eu-repo/semantics/article)
|info:eu-repo/semantics/submittedVersion
 
Идентификатор Gusev, SV & Volkov, MV 2023, 'Semiring identities of finite inverse semigroups', Semigroup Forum, Том. 106, № 2, стр. 403-420. https://doi.org/10.1007/s00233-022-10336-9
Gusev, S. V., & Volkov, M. V. (2023). Semiring identities of finite inverse semigroups. Semigroup Forum, 106(2), 403-420. https://doi.org/10.1007/s00233-022-10336-9
0037-1912
Final
All Open Access, Green
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146564586&doi=10.1007%2fs00233-022-10336-9&partnerID=40&md5=2b0f6763a1b67919d04218075245cc35
https://arxiv.org/pdf/2204.10514
http://elar.urfu.ru/handle/10995/130781
10.1007/s00233-022-10336-9
85146564586
000920394300001
 
Язык en
 
Связанные ресурсы info:eu-repo/grantAgreement/RSF//22-21-00650
 
Права Open access (info:eu-repo/semantics/openAccess)
 
Формат application/pdf
 
Издатель Springer
 
Источник Semigroup Forum
Semigroup Forum