On bases of identities of finite central locally orthodox completely regular semigroups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119120" target="_blank" >RIV/00216224:14310/21:00119120 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00233-021-10174-1" target="_blank" >https://doi.org/10.1007/s00233-021-10174-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00233-021-10174-1" target="_blank" >10.1007/s00233-021-10174-1</a>

Result language
angličtina
Original language name
On bases of identities of finite central locally orthodox completely regular semigroups
Original language description
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.
Czech name
—
Czech description
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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

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)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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