Email this article On maximal subalgebras of the algebras of unary recursive functions
- Authors: Marchenkov S.S.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 10, No 3 (2016)
- Pages: 380-385
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212423
- DOI: https://doi.org/10.1134/S199047891603008X
- ID: 212423
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Abstract
Under consideration are the algebras of unary functions with supports in countable primitively recursively closed classes and composition operation. Each algebra of this type is proved to have continuum many maximal subalgebras including the set of all unary functions of the class ε2 of the Grzegorczyk hierarchy.
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About the authors
S. S. Marchenkov
Lomonosov Moscow State University
Author for correspondence.
Email: ssmarchen@yandex.ru
Russian Federation, Leninskie gory 1, Moscow, 119991
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