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ON THE GALOIS CONNECTION FOR CLOSED CLASSES OF INFINITARY FUNCTIONS
- Authors: Polyakov N.L1, Shamolin M.V2
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Affiliations:
- HSE University
- Moscow State University named after M. V. Lomonosov
- Issue: Vol 525, No 1 (2025)
- Pages: 135–143
- Section: MATHEMATICS
- URL: https://ogarev-online.ru/2686-9543/article/view/356796
- DOI: https://doi.org/10.7868/S3034504925050188
- ID: 356796
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Abstract
In this paper, Galois theory is developed for closed sets of functions of any ordinal arity. The classical theorem on Galois-closed classes of functions and sets of predicates on finite sets is transferred to the general case.
Keywords
About the authors
N. L Polyakov
HSE University
Email: produktov@hse.ru
Moscow, Russia
M. V Shamolin
Moscow State University named after M. V. Lomonosov
Email: shamolin@imec.msu.ru
Corresponding member of the RAS Moscow, Russia
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