On semidirectly closed non-aperiodic pseudovarieties of finite
monoids

J 2020

On semidirectly closed non-aperiodic pseudovarieties of finite monoids

KAĎOUREK, Jiří

Základní údaje

Originální název

On semidirectly closed non-aperiodic pseudovarieties of finite monoids

Autoři

KAĎOUREK, Jiří

Vydání

Proceedings of the Edinburgh Mathematical Society, Cambridge University Press, 2020, 0013-0915

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 0.908

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/20:00114722

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

pseudovarieties of finite monoids; pseudovarieties of finite groups; semidirect products of monoids; semidirectly closed pseudovarieties; finite inverse monoids; finite aperiodic monoids; finite R-trivial monoids; finite p-groups; solvable groups

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 26. 1. 2021 11:26, doc. RNDr. Jiří Kaďourek, CSc.

Anotace

V originále

It is shown that, for every prime number p, the complete lattice of all semidirectly closed pseudovarieties of finite monoids whose intersection with the pseudovariety G of all finite groups is equal to the pseudovariety Gp of all finite p-groups has the cardinality of the continuum. Furthermore, it is shown, in addition, that the complete lattice of all semidirectly closed pseudovarieties of finite monoids whose intersection with the pseudovariety G of all finite groups is equal to the pseudovariety Gsol of all finite solvable groups has also the cardinality of the continuum.

Návaznosti

GA19-12790S, projekt VaV

Název: Efektivní charakterizace tříd konečných pologrup a formálních jazyků

Investor: Grantová agentura ČR, Efektivní charakterizace tříd konečných pologrup a formálních jazyků

Citovat

KAĎOUREK, Jiří. On semidirectly closed non-aperiodic pseudovarieties of finite monoids. Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2020, roč. 63, č. 4, s. 913-928. ISSN 0013-0915. Dostupné z: https://doi.org/10.1017/S0013091520000218.

@article{1733940,
   author = {Kaďourek, Jiří},
   article_number = {4},
   doi = {https://doi.org/10.1017/S0013091520000218},
   keywords = {pseudovarieties of finite monoids; pseudovarieties of finite groups; semidirect products of monoids; semidirectly closed pseudovarieties; finite inverse monoids; finite aperiodic monoids; finite R-trivial monoids; finite p-groups; solvable groups},
   language = {eng},
   issn = {0013-0915},
   journal = {Proceedings of the Edinburgh Mathematical Society},
   title = {On semidirectly closed non-aperiodic pseudovarieties of finite monoids},
   url = {https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BEA1B1BACC3E25204309D46CFF1E00DF/S0013091520000218a.pdf/on_semidirectly_closed_nonaperiodic_pseudovarieties_of_finite_monoids.pdf},
   volume = {63},
   year = {2020}
}

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AU  - Kaďourek, Jiří
PY  - 2020
TI  - On semidirectly closed non-aperiodic pseudovarieties of finite monoids
JF  - Proceedings of the Edinburgh Mathematical Society
VL  - 63
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SP  - 913-928
EP  - 913-928
PB  - Cambridge University Press
SN  - 00130915
KW  - pseudovarieties of finite monoids
KW  - pseudovarieties of finite groups
KW  - semidirect products of monoids
KW  - semidirectly closed pseudovarieties
KW  - finite inverse monoids
KW  - finite aperiodic monoids
KW  - finite R-trivial monoids
KW  - finite p-groups
KW  - solvable groups
UR  - https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BEA1B1BACC3E25204309D46CFF1E00DF/S0013091520000218a.pdf/on_semidirectly_closed_nonaperiodic_pseudovarieties_of_finite_monoids.pdf
L2  - https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BEA1B1BACC3E25204309D46CFF1E00DF/S0013091520000218a.pdf/on_semidirectly_closed_nonaperiodic_pseudovarieties_of_finite_monoids.pdf
N2  - It is shown that, for every prime number p, the complete lattice of all semidirectly closed pseudovarieties of finite monoids whose intersection with the pseudovariety G of all finite groups is equal to the pseudovariety Gp of all finite p-groups has the cardinality of the continuum. Furthermore, it is shown, in addition, that the complete lattice of all semidirectly closed pseudovarieties of finite monoids whose intersection with the pseudovariety G of all finite groups is equal to the pseudovariety Gsol of all finite solvable groups has also the cardinality of the continuum.
ER  -

KAĎOUREK, Jiří. On semidirectly closed non-aperiodic pseudovarieties of finite monoids. \textit{Proceedings of the Edinburgh Mathematical Society}. Cambridge University Press, 2020, roč.~63, č.~4, s.~913-928. ISSN~0013-0915. Dostupné z: https://doi.org/10.1017/S0013091520000218.

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