Pseudovarieties of Ordered Completely Regular Semigroups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108246" target="_blank" >RIV/00216224:14310/19:00108246 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00025-019-0998-7" target="_blank" >https://link.springer.com/article/10.1007/s00025-019-0998-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00025-019-0998-7" target="_blank" >10.1007/s00025-019-0998-7</a>

Result language
angličtina
Original language name
Pseudovarieties of Ordered Completely Regular Semigroups
Original language description
This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups.
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
10102 - Applied mathematics

Project
<a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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