Boolean Algebras with Distinguished Endomorphisms and Generating Trees
- Autores: Bazhenov N.A.1,2
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Afiliações:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Edição: Volume 215, Nº 4 (2016)
- Páginas: 460-474
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237624
- DOI: https://doi.org/10.1007/s10958-016-2851-9
- ID: 237624
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Resumo
We characterize computable Boolean algebras with distinguished endomorphisms in terms of generating trees and mappings of these trees. We show that every degree spectrum of a countable family of subsets of ω is the degree spectrum of some natural enrichment of a Boolean algebra. Bibliography: 20 titles.
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Sobre autores
N. Bazhenov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Autor responsável pela correspondência
Email: nickbazh@yandex.ru
Rússia, 4, pr. Akad, Novosibirsk, Koptyuga, 630090; 2, ul. Pirogova, Novosibirsk, 630090
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