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Semiring and involution identities of powers of inverse semigroups. / Dolinka, Igor; Gusev, Sergey; Volkov, Mikhail.
в: Communications in Algebra, Том 52, № 5, 03.05.2024, стр. 1922-1929.

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Dolinka I, Gusev S, Volkov M. Semiring and involution identities of powers of inverse semigroups. Communications in Algebra. 2024 май 3;52(5):1922-1929. doi: 10.1080/00927872.2023.2277413

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Dolinka, Igor ; Gusev, Sergey ; Volkov, Mikhail. / Semiring and involution identities of powers of inverse semigroups. в: Communications in Algebra. 2024 ; Том 52, № 5. стр. 1922-1929.

BibTeX

@article{364d3d54772844fa857579af2e9ab3a6,
title = "Semiring and involution identities of powers of inverse semigroups",
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.",
author = "Igor Dolinka and Sergey Gusev and Mikhail Volkov",
year = "2024",
month = may,
day = "3",
doi = "10.1080/00927872.2023.2277413",
language = "English",
volume = "52",
pages = "1922--1929",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - Semiring and involution identities of powers of inverse semigroups

AU - Dolinka, Igor

AU - Gusev, Sergey

AU - Volkov, Mikhail

PY - 2024/5/3

Y1 - 2024/5/3

N2 - 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.

AB - 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.

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U2 - 10.1080/00927872.2023.2277413

DO - 10.1080/00927872.2023.2277413

M3 - Article

VL - 52

SP - 1922

EP - 1929

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 5

ER -

ID: 54325091