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Semiring identities of finite inverse semigroups. / Gusev, Sergey V.; Volkov, Mikhail V.
в: Semigroup Forum, Том 106, № 2, 01.04.2023, стр. 403-420.

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Harvard

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

APA

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

Vancouver

Gusev SV, Volkov MV. Semiring identities of finite inverse semigroups. Semigroup Forum. 2023 апр. 1;106(2):403-420. doi: 10.1007/s00233-022-10336-9

Author

Gusev, Sergey V. ; Volkov, Mikhail V. / Semiring identities of finite inverse semigroups. в: Semigroup Forum. 2023 ; Том 106, № 2. стр. 403-420.

BibTeX

@article{22bfe5493f114456a92c8adb98561fac,
title = "Semiring identities of finite inverse semigroups",
abstract = "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.",
author = "Gusev, {Sergey V.} and Volkov, {Mikhail V.}",
note = "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).",
year = "2023",
month = apr,
day = "1",
doi = "10.1007/s00233-022-10336-9",
language = "English",
volume = "106",
pages = "403--420",
journal = "Semigroup Forum",
issn = "0037-1912",
publisher = "Springer Verlag",
number = "2",

}

RIS

TY - JOUR

T1 - Semiring identities of finite inverse semigroups

AU - Gusev, Sergey V.

AU - Volkov, Mikhail V.

N1 - 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).

PY - 2023/4/1

Y1 - 2023/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85146564586

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000920394300001

U2 - 10.1007/s00233-022-10336-9

DO - 10.1007/s00233-022-10336-9

M3 - Article

VL - 106

SP - 403

EP - 420

JO - Semigroup Forum

JF - Semigroup Forum

SN - 0037-1912

IS - 2

ER -

ID: 38481535