Další formáty:
BibTeX
LaTeX
RIS
@article{2214101,
author = {Kaďourek, Jiří},
article_location = {ENGLAND},
article_number = {3},
doi = {http://dx.doi.org/10.4153/S0008439521000564},
keywords = {semidirect product of semigroups; semidirectly closed pseudovariety of finite semigroups; local pseudovariety of finite monoids},
language = {eng},
issn = {0008-4395},
journal = {CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES},
title = {On semidirectly closed pseudovarieties of finite semigroups and monoids},
url = {https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C97088F30E561DB1FDD6F5A20DC414D5/S0008439521000564a.pdf/on-semidirectly-closed-pseudovarieties-of-finite-semigroups-and-monoids.pdf},
volume = {65},
year = {2022}
}
TY - JOUR
ID - 2214101
AU - Kaďourek, Jiří
PY - 2022
TI - On semidirectly closed pseudovarieties of finite semigroups and monoids
JF - CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
VL - 65
IS - 3
SP - 612-627
EP - 612-627
PB - CAMBRIDGE UNIV PRESS
SN - 00084395
KW - semidirect product of semigroups
KW - semidirectly closed pseudovariety of finite semigroups
KW - local pseudovariety of finite monoids
UR - https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C97088F30E561DB1FDD6F5A20DC414D5/S0008439521000564a.pdf/on-semidirectly-closed-pseudovarieties-of-finite-semigroups-and-monoids.pdf
N2 - For every pseudovariety V of finite monoids, let LV denote the pseudovariety of all finite semigroups all of whose local submonoids belong to V. In this paper, it is shown that, for every nontrivial semidirectly closed pseudovariety V of finite monoids, the pseudovariety LV of finite semigroups is also semidirectly closed if, and only if, the given pseudovariety V is local in the sense of Tilson. This finding resolves a long-standing open problem posed in the second volume of the classic monograph by Eilenberg.
ER -
KAĎOUREK, Jiří. On semidirectly closed pseudovarieties of finite semigroups and monoids. \textit{CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES}. ENGLAND: CAMBRIDGE UNIV PRESS, 2022, roč.~65, č.~3, s.~612-627. ISSN~0008-4395. Dostupné z: https://dx.doi.org/10.4153/S0008439521000564.
|
