Geodesic
Some properties of the upper semilattice of computable families of computably enumerable sets
Algebra i logika, Tome 60 (2021) no. 2, pp. 195-209.

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We look at specific features of the algebraic structure of an upper semilattice of computable families of computably enumerable sets in $\Omega$. It is proved that ideals of minuend and finite families of $\Omega$ coincide. We deal with the question whether there exist atoms and coatoms in the factor semilattice of $\Omega$ with respect to an ideal of finite families. Also we point out a sufficient condition for computable families to be complemented.
Keywords: computably enumerable set, computable family, computable numbering, semilattice of computable families. 
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M. Kh. Faizrakhmanov. Some properties of the upper semilattice of computable families of computably enumerable sets. Algebra i logika, Tome 60 (2021) no. 2, pp. 195-209. http://geodesic.mathdoc.fr/item/AL_2021_60_2_a5/

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