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On Presentations of the Addition over the Reals. / Morozov, A. S.

в: Lobachevskii Journal of Mathematics, Том 46, № 4, 33, 04.2025, стр. 1892-1903.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Morozov, AS 2025, 'On Presentations of the Addition over the Reals', Lobachevskii Journal of Mathematics, Том. 46, № 4, 33, стр. 1892-1903. https://doi.org/10.1134/S1995080225606113

APA

Morozov, A. S. (2025). On Presentations of the Addition over the Reals. Lobachevskii Journal of Mathematics, 46(4), 1892-1903. [33]. https://doi.org/10.1134/S1995080225606113

Vancouver

Morozov AS. On Presentations of the Addition over the Reals. Lobachevskii Journal of Mathematics. 2025 апр.;46(4):1892-1903. 33. doi: 10.1134/S1995080225606113

Author

Morozov, A. S. / On Presentations of the Addition over the Reals. в: Lobachevskii Journal of Mathematics. 2025 ; Том 46, № 4. стр. 1892-1903.

BibTeX

@article{34a1facbb25840c586e19d9e450248d4,
title = "On Presentations of the Addition over the Reals",
abstract = "We prove that there exists 2ω non-Σ-isomorphic and (even pairwise non-Σ-embeddable) Σ-presentations of the additive group of the real numbers in the hereditarily finite superstructure over the ordered field of the real numbers.",
keywords = "admissible set, algorithmic dimension, autostability, computability over the real numbers, computable structure, constructive structure, generalized computability, hereditarily finite superstructure, number of presentations, sigma-presentable structure",
author = "Morozov, {A. S.}",
note = "Morozov A. S. On Presentations of the Addition over the Reals // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46. - No. 4. – P. 1892-1903. – DOI 10.1134/S1995080225606113. – EDN IGUYKH. The paper was supported by the basic project FWNF-2022-0012 of the Ministry of Science and Higher Education of the Russian Federation.",
year = "2025",
month = apr,
doi = "10.1134/S1995080225606113",
language = "English",
volume = "46",
pages = "1892--1903",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "ФГБУ {"}Издательство {"}Наука{"}",
number = "4",

}

RIS

TY - JOUR

T1 - On Presentations of the Addition over the Reals

AU - Morozov, A. S.

N1 - Morozov A. S. On Presentations of the Addition over the Reals // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46. - No. 4. – P. 1892-1903. – DOI 10.1134/S1995080225606113. – EDN IGUYKH. The paper was supported by the basic project FWNF-2022-0012 of the Ministry of Science and Higher Education of the Russian Federation.

PY - 2025/4

Y1 - 2025/4

N2 - We prove that there exists 2ω non-Σ-isomorphic and (even pairwise non-Σ-embeddable) Σ-presentations of the additive group of the real numbers in the hereditarily finite superstructure over the ordered field of the real numbers.

AB - We prove that there exists 2ω non-Σ-isomorphic and (even pairwise non-Σ-embeddable) Σ-presentations of the additive group of the real numbers in the hereditarily finite superstructure over the ordered field of the real numbers.

KW - admissible set

KW - algorithmic dimension

KW - autostability

KW - computability over the real numbers

KW - computable structure

KW - constructive structure

KW - generalized computability

KW - hereditarily finite superstructure

KW - number of presentations

KW - sigma-presentable structure

UR - https://www.scopus.com/pages/publications/105013897127

UR - https://www.elibrary.ru/item.asp?id=82828814

UR - https://www.mendeley.com/catalogue/5aae8da8-7ff8-355e-abf8-dc44cb365b7e/

U2 - 10.1134/S1995080225606113

DO - 10.1134/S1995080225606113

M3 - Article

VL - 46

SP - 1892

EP - 1903

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

M1 - 33

ER -

ID: 68881684