Standard

Permutation Groups and Ideals of Turing Degrees. / Morozov, A. s.; Puzarenko, V. g.; Faizrakhmanov, M. kh.

в: Algebra and Logic, Том 63, № 2, 22.01.2025, стр. 141-152.

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

Harvard

Morozov, AS, Puzarenko, VG & Faizrakhmanov, MK 2025, 'Permutation Groups and Ideals of Turing Degrees', Algebra and Logic, Том. 63, № 2, стр. 141-152. https://doi.org/10.1007/s10469-025-09777-2

APA

Morozov, A. S., Puzarenko, V. G., & Faizrakhmanov, M. K. (2025). Permutation Groups and Ideals of Turing Degrees. Algebra and Logic, 63(2), 141-152. https://doi.org/10.1007/s10469-025-09777-2

Vancouver

Morozov AS, Puzarenko VG, Faizrakhmanov MK. Permutation Groups and Ideals of Turing Degrees. Algebra and Logic. 2025 янв. 22;63(2):141-152. doi: 10.1007/s10469-025-09777-2

Author

Morozov, A. s. ; Puzarenko, V. g. ; Faizrakhmanov, M. kh. / Permutation Groups and Ideals of Turing Degrees. в: Algebra and Logic. 2025 ; Том 63, № 2. стр. 141-152.

BibTeX

@article{67244c3cdb284f52b0915af73353945f,
title = "Permutation Groups and Ideals of Turing Degrees",
abstract = "We study degrees and degree spectra of groups defined on a set of permutations of the natural numbers ω whose degrees belong to a Turing ideal I. A necessary condition and a sufficient condition are stated which specify whether an arbitrary Turing degree belongs to the degree spectrum of a group. Nonprincipal ideals I for which the group has or does not have a degree are exemplified.",
author = "Morozov, {A. s.} and Puzarenko, {V. g.} and Faizrakhmanov, {M. kh.}",
note = "A. S. Morozov is supported by RFBR (project No. 20-01-00300 A) and by the Ministry of Education and Science of Russia (base project No. FWNF-2022-0012). V. G. Puzarenko is supported by Mathematical Center in Akademgorodok, Agreement No. 075-15-2022-282. M. Kh. Faizrakhmanov is the work was carried out as part of the developmental program for Scientific-Educational Mathematical Center (SEMC) in Volga Federal District, Agreement No. 075-02-2022-882.",
year = "2025",
month = jan,
day = "22",
doi = "10.1007/s10469-025-09777-2",
language = "English",
volume = "63",
pages = "141--152",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "2",

}

RIS

TY - JOUR

T1 - Permutation Groups and Ideals of Turing Degrees

AU - Morozov, A. s.

AU - Puzarenko, V. g.

AU - Faizrakhmanov, M. kh.

N1 - A. S. Morozov is supported by RFBR (project No. 20-01-00300 A) and by the Ministry of Education and Science of Russia (base project No. FWNF-2022-0012). V. G. Puzarenko is supported by Mathematical Center in Akademgorodok, Agreement No. 075-15-2022-282. M. Kh. Faizrakhmanov is the work was carried out as part of the developmental program for Scientific-Educational Mathematical Center (SEMC) in Volga Federal District, Agreement No. 075-02-2022-882.

PY - 2025/1/22

Y1 - 2025/1/22

N2 - We study degrees and degree spectra of groups defined on a set of permutations of the natural numbers ω whose degrees belong to a Turing ideal I. A necessary condition and a sufficient condition are stated which specify whether an arbitrary Turing degree belongs to the degree spectrum of a group. Nonprincipal ideals I for which the group has or does not have a degree are exemplified.

AB - We study degrees and degree spectra of groups defined on a set of permutations of the natural numbers ω whose degrees belong to a Turing ideal I. A necessary condition and a sufficient condition are stated which specify whether an arbitrary Turing degree belongs to the degree spectrum of a group. Nonprincipal ideals I for which the group has or does not have a degree are exemplified.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85217432183&origin=inward&txGid=a0e2952d9a2ed732fc8363a7e226aaf1

UR - https://doi.org/10.33048/alglog.2024.63.205

U2 - 10.1007/s10469-025-09777-2

DO - 10.1007/s10469-025-09777-2

M3 - Article

VL - 63

SP - 141

EP - 152

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 2

ER -

ID: 64714013