Email this article Boolean Algebras with Distinguished Endomorphisms and Generating Trees
- Authors: Bazhenov N.A.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 215, No 4 (2016)
- Pages: 460-474
- Section: 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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Abstract
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.
About the authors
N. A. Bazhenov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: nickbazh@yandex.ru
Russian Federation, 4, pr. Akad, Novosibirsk, Koptyuga, 630090; 2, ul. Pirogova, Novosibirsk, 630090
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