Functional reducts of the countable atomless Boolean algebra

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472246" target="_blank" >RIV/00216208:11320/23:10472246 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZOIGN76TBk" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZOIGN76TBk</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218196723500078" target="_blank" >10.1142/S0218196723500078</a>

Result language
angličtina
Original language name
Functional reducts of the countable atomless Boolean algebra
Original language description
For an algebra 2l = (A, f(1), ... f(n)) the algebra B = (A, t(1), ..., t(k)) is called a functional reduct if each tj is a term function of 2l. We classify the functional reducts of the countable atomless Boolean algebra up to first-order interdefinability. That is, we consider two functional reducts the "same" if their group of automorphisms is the same. We show that there are 13 such reducts and describe their structures and group of automorphisms.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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