Semiring and involution identities of powers of inverse semigroups

Dolinka, I.; Gusev, S. V.; Volkov, M. V.

doi:10.1080/00927872.2023.2277413

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/141462

Title:	Semiring and involution identities of powers of inverse semigroups
Authors:	Dolinka, I. Gusev, S. V. Volkov, M. V.
Issue Date:	2024
Publisher:	Taylor and Francis Ltd.
Citation:	Dolinka, I., Gusev, S., & Volkov, M. (2024). Semiring and involution identities of powers of inverse semigroups. Communications in Algebra, 52(5), 1922-1929. https://doi.org/10.1080/00927872.2023.2277413
Abstract:	The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural conditions on a finite inverse semigroup guaranteeing that neither semiring nor involution identities of the involution semiring of its subsets admit a finite identity basis. © 2023 Taylor & Francis Group, LLC.
Keywords:	ADDITIVELY IDEMPOTENT SEMIRING CLIFFORD SEMIGROUP FINITE BASIS PROBLEM INVERSE SEMIGROUP INVOLUTION SEMIGROUP POWER SEMIRING
URI:	http://elar.urfu.ru/handle/10995/141462
Access:	info:eu-repo/semantics/openAccess
SCOPUS ID:	85176286212
WOS ID:	001121035400001
PURE ID:	54325091
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2023.2277413
Sponsorship:	Serbian Academy of Sciences and Arts, SASA; Ministry of Science, Technological Development and Innovations of the Republic of Serbia; Russian Science Foundation, RSF, (22-21-00650) I. Dolinka was supported by the Personal grant F-121 of the Serbian Academy of Sciences and Arts, and, partially, by the Ministry of Science, Technological Development and Innovations of the Republic of Serbia. S. V. Gusev and M. V. Volkov were supported by the Russian Science Foundation (Grant No. 22-21-00650). The authors thank the anonymous referee for careful reading and Edmond W. H. Lee for valuable remarks.
RSCF project card:	Ministry of Education and Science of the Russian Federation, Minobrnauka; Ural Mathematical Center, (075-02-2022-877) Supported by the Ural Mathematical Center under agreement no. 075-02-2022-877 with the Ministry of Science and Higher Education of the Russian Federation. AMS 2020 Mathematics Subject Classification. 05C63, 05C50.
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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