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Friedberg Numberings on Admissible Sets. / Puzarenko, V. G.

In: Algebra and Logic, Vol. 64, No. 6, 28.08.2026, p. 447-454.

Research output: Contribution to journal › Article › peer-review

Harvard

Puzarenko, VG 2026, 'Friedberg Numberings on Admissible Sets', Algebra and Logic, vol. 64, no. 6, pp. 447-454. https://doi.org/10.1007/s10469-026-09847-z

APA

Puzarenko, V. G. (2026). Friedberg Numberings on Admissible Sets. Algebra and Logic, 64(6), 447-454. https://doi.org/10.1007/s10469-026-09847-z

Vancouver

Puzarenko VG. Friedberg Numberings on Admissible Sets. Algebra and Logic. 2026 Aug 28;64(6):447-454. doi: 10.1007/s10469-026-09847-z

Author

Puzarenko, V. G. / Friedberg Numberings on Admissible Sets. In: Algebra and Logic. 2026 ; Vol. 64, No. 6. pp. 447-454.

BibTeX

@article{4bc1b0907af24b0da3b6b4793d8238dc,
title = "Friedberg Numberings on Admissible Sets",
abstract = "We consider the problem of existence of single-valued, computable, positive, and negative representations of the family of all computably enumerable subsets on admissible structures. Additionally, a description of the properties of the admissible structures under consideration is given.",
keywords = "Friedberg representation, admissible set, computable numbering, equivalence relation, negative numbering, numbering, positive numbering, допустимое множество, нумерация, представление Фридберга, вычислимая нумерация, положительная нумерация, отрицательная нумерация, отношение эквивалентности",
author = "Puzarenko, {V. G.}",
note = "Puzarenko, V.G. Friedberg Numberings on Admissible Sets. Algebra Logic 64, 447–454 (2026). https://doi.org/10.1007/s10469-026-09847-z",
year = "2026",
month = aug,
day = "28",
doi = "10.1007/s10469-026-09847-z",
language = "English",
volume = "64",
pages = "447--454",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "6",

}

RIS

TY - JOUR

T1 - Friedberg Numberings on Admissible Sets

AU - Puzarenko, V. G.

N1 - Puzarenko, V.G. Friedberg Numberings on Admissible Sets. Algebra Logic 64, 447–454 (2026). https://doi.org/10.1007/s10469-026-09847-z

PY - 2026/8/28

Y1 - 2026/8/28

N2 - We consider the problem of existence of single-valued, computable, positive, and negative representations of the family of all computably enumerable subsets on admissible structures. Additionally, a description of the properties of the admissible structures under consideration is given.

AB - We consider the problem of existence of single-valued, computable, positive, and negative representations of the family of all computably enumerable subsets on admissible structures. Additionally, a description of the properties of the admissible structures under consideration is given.

KW - Friedberg representation

KW - admissible set

KW - computable numbering

KW - equivalence relation

KW - negative numbering

KW - numbering

KW - positive numbering

KW - допустимое множество

KW - нумерация

KW - представление Фридберга

KW - вычислимая нумерация

KW - положительная нумерация

KW - отрицательная нумерация

KW - отношение эквивалентности

UR - https://www.mendeley.com/catalogue/efb7c8fd-ce96-3523-9ecc-2d17c9e46766/

UR - https://www.scopus.com/pages/publications/105048698762

U2 - 10.1007/s10469-026-09847-z

DO - 10.1007/s10469-026-09847-z

M3 - Article

VL - 64

SP - 447

EP - 454

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 6

ER -

ID: 83339162