A counter-example in the theory of E-solid completely 0-simple semigroups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00141427" target="_blank" >RIV/00216224:14310/25:00141427 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00233-025-10544-z" target="_blank" >https://doi.org/10.1007/s00233-025-10544-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00233-025-10544-z" target="_blank" >10.1007/s00233-025-10544-z</a>

Result language
angličtina
Original language name
A counter-example in the theory of E-solid completely 0-simple semigroups
Original language description
The purpose of this note is to document that the study of E-solid completely 0-simple semigroups cannot be reduced to the study of maximal completely simple subsemigroups of such semigroups. An example of a finite E-solid completely 0-simple semigroup S is provided such that S does not belong to the variety of semigroups generated by the collection of all maximal completely simple subsemigroups of S together with the five-element combinatorial Brandt semigroup B_2. This is in sharp contrast to the situation which is known to hold for arbitrary Brandt semigroups relatively to their maximal subgroups.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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