Semiring and involution identities of powers of inverse semigroups

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

doi:10.1080/00927872.2023.2277413

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Поле DC	Значение	Язык
dc.contributor.author	Dolinka, I.	en
dc.contributor.author	Gusev, S. V.	en
dc.contributor.author	Volkov, M. V.	en
dc.date.accessioned	2025-02-25T10:46:53Z	-
dc.date.available	2025-02-25T10:46:53Z	-
dc.date.issued	2024	-
dc.identifier.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	apa_pure
dc.identifier.issn	0092-7872	-
dc.identifier.issn	1532-4125	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access; Green Open Access	3
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176286212&doi=10.1080%2f00927872.2023.2277413&partnerID=40&md5=7fe0e5ec1f6bee1c3aeb123bd399d6ae	1
dc.identifier.other	http://arxiv.org/pdf/2309.11432	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/141462	-
dc.description.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.	en
dc.description.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)	en
dc.description.sponsorship	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.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Taylor and Francis Ltd.	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Communications in Algebra	2
dc.source	Communications in Algebra	en
dc.subject	ADDITIVELY IDEMPOTENT SEMIRING	en
dc.subject	CLIFFORD SEMIGROUP	en
dc.subject	FINITE BASIS PROBLEM	en
dc.subject	INVERSE SEMIGROUP	en
dc.subject	INVOLUTION SEMIGROUP	en
dc.subject	POWER SEMIRING	en
dc.title	Semiring and involution identities of powers of inverse semigroups	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/submittedVersion	en
dc.identifier.doi	10.1080/00927872.2023.2277413	-
dc.identifier.scopus	85176286212	-
local.contributor.employee	Dolinka I., Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia	en
local.contributor.employee	Gusev S.V., Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russian Federation	en
local.contributor.employee	Volkov M.V., Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russian Federation	en
local.description.firstpage	1922
local.description.lastpage	1929
local.issue	5	-
local.volume	52	-
dc.identifier.wos	001121035400001	-
local.contributor.department	Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia	en
local.contributor.department	Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russian Federation	en
local.identifier.pure	54325091	-
local.identifier.eid	2-s2.0-85176286212	-
local.fund.rsf	Ministry of Education and Science of the Russian Federation, Minobrnauka; Ural Mathematical Center, (075-02-2022-877)
local.fund.rsf	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.
local.identifier.wos	WOS:001121035400001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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