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The complexity of quasivariety lattices. II. / Schwidefsky, M. V.

In: Siberian Electronic Mathematical Reports, Vol. 20, No. 1, 2023, p. 501-513.

Research output: Contribution to journal › Article › peer-review

Harvard

Schwidefsky, MV 2023, 'The complexity of quasivariety lattices. II', Siberian Electronic Mathematical Reports, vol. 20, no. 1, pp. 501-513. https://doi.org/10.33048/semi.2023.20.030

APA

Schwidefsky, M. V. (2023). The complexity of quasivariety lattices. II. Siberian Electronic Mathematical Reports, 20(1), 501-513. https://doi.org/10.33048/semi.2023.20.030

Vancouver

Schwidefsky MV. The complexity of quasivariety lattices. II. Siberian Electronic Mathematical Reports. 2023;20(1):501-513. doi: 10.33048/semi.2023.20.030

Author

Schwidefsky, M. V. / The complexity of quasivariety lattices. II. In: Siberian Electronic Mathematical Reports. 2023 ; Vol. 20, No. 1. pp. 501-513.

BibTeX

@article{5d3f9b5a298540999d37858ddc2e0906,
title = "The complexity of quasivariety lattices. II",
abstract = "We prove that if a quasivariety K contains a finite B*- class relative to some subquasivariety and some variety possessing some additional property, thenK contains continuum many Q-universal nonpro finite subquasivarieties having an independent quasi-equational basis as well as continuum many Q-universal non-profinite subquasivarieties having no such basis.",
keywords = "inverse limit, profinite quasivariety, profinite structure, quasi-equational basis, quasivariety",
author = "Schwidefsky, {M. V.}",
note = "The research was carried out under the support of the Russian Science Foundation, project no. 22-21-00104.",
year = "2023",
doi = "10.33048/semi.2023.20.030",
language = "English",
volume = "20",
pages = "501--513",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - The complexity of quasivariety lattices. II

AU - Schwidefsky, M. V.

N1 - The research was carried out under the support of the Russian Science Foundation, project no. 22-21-00104.

PY - 2023

Y1 - 2023

N2 - We prove that if a quasivariety K contains a finite B*- class relative to some subquasivariety and some variety possessing some additional property, thenK contains continuum many Q-universal nonpro finite subquasivarieties having an independent quasi-equational basis as well as continuum many Q-universal non-profinite subquasivarieties having no such basis.

AB - We prove that if a quasivariety K contains a finite B*- class relative to some subquasivariety and some variety possessing some additional property, thenK contains continuum many Q-universal nonpro finite subquasivarieties having an independent quasi-equational basis as well as continuum many Q-universal non-profinite subquasivarieties having no such basis.

KW - inverse limit

KW - profinite quasivariety

KW - profinite structure

KW - quasi-equational basis

KW - quasivariety

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85167875316&origin=inward&txGid=8ffd5ca4ad23575ace049e000b44de78

UR - https://www.elibrary.ru/item.asp?id=54768302

UR - https://www.mendeley.com/catalogue/7a1d3e47-e7dd-34b5-9869-c0f8e1e635f2/

U2 - 10.33048/semi.2023.20.030

DO - 10.33048/semi.2023.20.030

M3 - Article

VL - 20

SP - 501

EP - 513

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

ER -

ID: 59132570