Boolean Algebras with Distinguished Endomorphisms and Generating Trees
- Авторлар: Bazhenov N.A.1,2
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Мекемелер:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Шығарылым: Том 215, № 4 (2016)
- Беттер: 460-474
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237624
- DOI: https://doi.org/10.1007/s10958-016-2851-9
- ID: 237624
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
N. Bazhenov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: nickbazh@yandex.ru
Ресей, 4, pr. Akad, Novosibirsk, Koptyuga, 630090; 2, ul. Pirogova, Novosibirsk, 630090
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