Geodesic
Boolean algebras with distinguished endomorphisms and generating trees
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 1, pp. 29-44

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We obtain a characterization of computable Boolean algebras with distinguished endomorphisms in terms of generating trees and mappings of the trees. We prove that every degree spectrum of a countable family of subsets of $\omega$ is a degree spectrum of some natural enrichment of a Boolean algebra.
Keywords: Boolean algebra, Boolean algebra with distinguished endomorphisms, degree spectrum
Mots-clés : computable dimension. 
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     title = {Boolean algebras with distinguished endomorphisms and generating trees},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_1_a2/}
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N. A. Bazhenov. Boolean algebras with distinguished endomorphisms and generating trees. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 1, pp. 29-44. http://geodesic.mathdoc.fr/item/VNGU_2015_15_1_a2/