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@article{1785099,
author = {Kaďourek, Jiří},
article_location = {New York},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s00233-021-10174-1},
keywords = {Completely regular semigroups; Completely simple semigroups; Varieties of completely regular semigroups; Central completely regular semigroups; Locally orthodox completely regular semigroups; Bases of identities of finite semigroups},
language = {eng},
issn = {0037-1912},
journal = {Semigroup Forum},
title = {On bases of identities of finite central locally orthodox completely regular semigroups},
url = {https://doi.org/10.1007/s00233-021-10174-1},
volume = {102},
year = {2021}
}
TY - JOUR
ID - 1785099
AU - Kaďourek, Jiří
PY - 2021
TI - On bases of identities of finite central locally orthodox completely regular semigroups
JF - Semigroup Forum
VL - 102
IS - 3
SP - 697-724
EP - 697-724
PB - Springer
SN - 00371912
KW - Completely regular semigroups
KW - Completely simple semigroups
KW - Varieties of completely regular semigroups
KW - Central completely regular semigroups
KW - Locally orthodox completely regular semigroups
KW - Bases of identities of finite semigroups
UR - https://doi.org/10.1007/s00233-021-10174-1
N2 - It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite central completely simple semigroup has a finite basis of identities. In the present paper, a common generalization of these two facts is established. It is shown that every finite central locally orthodox completely regular semigroup has a finite basis of identities. The proof of this latter fact which is presented in this paper employs significantly the celebrated theorem of Libor Polák on the structure of the lattice of all varieties of completely regular semigroups.
ER -
KAĎOUREK, Jiří. On bases of identities of finite central locally orthodox completely regular semigroups. \textit{Semigroup Forum}. New York: Springer, 2021, roč.~102, č.~3, s.~697-724. ISSN~0037-1912. Dostupné z: https://dx.doi.org/10.1007/s00233-021-10174-1.
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