On semidirectly closed non-aperiodic pseudovarieties of finite monoids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114722" target="_blank" >RIV/00216224:14310/20:00114722 - isvavai.cz</a>
Result on the web
<a href="https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BEA1B1BACC3E25204309D46CFF1E00DF/S0013091520000218a.pdf/on_semidirectly_closed_nonaperiodic_pseudovarieties_of_finite_monoids.pdf" target="_blank" >https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BEA1B1BACC3E25204309D46CFF1E00DF/S0013091520000218a.pdf/on_semidirectly_closed_nonaperiodic_pseudovarieties_of_finite_monoids.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0013091520000218" target="_blank" >10.1017/S0013091520000218</a>
Alternative languages
Result language
angličtina
Original language name
On semidirectly closed non-aperiodic pseudovarieties of finite monoids
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA19-12790S" target="_blank" >GA19-12790S: Effective characterizations of classes of finite semigroups and formal languages</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Edinburgh Mathematical Society
ISSN
0013-0915
e-ISSN
1464-3839
Volume of the periodical
63
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
16
Pages from-to
913-928
UT code for WoS article
000605613100001
EID of the result in the Scopus database
2-s2.0-85094833904