On Presentations of the Addition over the Reals Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2025, Volume: 46, Number: 4, Pages: 1892-1903 Pages count : 12 DOI: 10.1134/s1995080225606113 | ||||
| Tags | generalized computability, admissible set, hereditarily finite superstructure, sigma-presentable structure, computable structure, constructive structure, computability over the real numbers, algorithmic dimension, autostability, number of presentations | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
We prove that there exists 2ω non-Σ-isomorphic and (even pairwise non-Σembeddable) Σ-presentations of the additive group of the real numbers in the hereditarily finite superstructure over the ordered field of the real numbers.
Cite:
Morozov A.S.
On Presentations of the Addition over the Reals
Lobachevskii Journal of Mathematics. 2025. V.46. N4. P.1892-1903. DOI: 10.1134/s1995080225606113 WOS Scopus РИНЦ OpenAlex
On Presentations of the Addition over the Reals
Lobachevskii Journal of Mathematics. 2025. V.46. N4. P.1892-1903. DOI: 10.1134/s1995080225606113 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 25, 2025 |
| Accepted: | Mar 1, 2025 |
| Published print: | Aug 21, 2025 |
| Published online: | Aug 21, 2025 |
Identifiers:
| Web of science: | WOS:001560067000031 |
| Scopus: | 2-s2.0-105013897127 |
| Elibrary: | 82828814 |
| OpenAlex: | W4413391701 |
Citing:
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