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Weak Jumps in the Elementary Degrees and Jump Inversion Theorems. / Kalimullin, I. Sh.

In: Lobachevskii Journal of Mathematics, Vol. 47, No. 4, 20.07.2026, p. 1590-1597.

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

Harvard

Kalimullin, IS 2026, 'Weak Jumps in the Elementary Degrees and Jump Inversion Theorems', Lobachevskii Journal of Mathematics, vol. 47, no. 4, pp. 1590-1597. https://doi.org/10.1134/S1995080226617157

APA

Kalimullin, I. S. (2026). Weak Jumps in the Elementary Degrees and Jump Inversion Theorems. Lobachevskii Journal of Mathematics, 47(4), 1590-1597. https://doi.org/10.1134/S1995080226617157

Vancouver

Kalimullin IS. Weak Jumps in the Elementary Degrees and Jump Inversion Theorems. Lobachevskii Journal of Mathematics. 2026 Jul 20;47(4):1590-1597. doi: 10.1134/S1995080226617157

Author

Kalimullin, I. Sh. / Weak Jumps in the Elementary Degrees and Jump Inversion Theorems. In: Lobachevskii Journal of Mathematics. 2026 ; Vol. 47, No. 4. pp. 1590-1597.

BibTeX

@article{01823f1ec6924e6589e4fa7bad874bff,
title = "Weak Jumps in the Elementary Degrees and Jump Inversion Theorems",
abstract = "Abstract: This paper introduces and studies the 0.1-valued (weak) jump in the elementary degrees. For this operation, two jump inversion theorem are proved. The first jump inversion theorem shows that every elementary 0.1-valued degree above is elementary equivalent to the jump similarly with the Friedberg Jump Inversion Theorem for Turing degrees. The second jump inversion theorem describes the jumps of degrees below.",
keywords = "elementary degrees, elementary reducibility, jump operation, элементарная сводимость, элементарные степени, операция скачка",
author = "Kalimullin, {I. Sh.}",
note = "Kalimullin, I. Sh. Weak Jumps in the Elementary Degrees and Jump Inversion Theorems / I. Sh. Kalimullin // Lobachevskii Journal of Mathematics. – 2026. – Vol. 47, No. 4. – P. 1590-1597. – DOI 10.1134/S1995080226617157. – EDN FPVGWT. The work is supported by the Mathematical Center in Akademgorodok under the agreement no. 075-15-2025-349 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2026",
month = jul,
day = "20",
doi = "10.1134/S1995080226617157",
language = "English",
volume = "47",
pages = "1590--1597",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "ФГБУ {"}Издательство {"}Наука{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Weak Jumps in the Elementary Degrees and Jump Inversion Theorems

AU - Kalimullin, I. Sh.

N1 - Kalimullin, I. Sh. Weak Jumps in the Elementary Degrees and Jump Inversion Theorems / I. Sh. Kalimullin // Lobachevskii Journal of Mathematics. – 2026. – Vol. 47, No. 4. – P. 1590-1597. – DOI 10.1134/S1995080226617157. – EDN FPVGWT. The work is supported by the Mathematical Center in Akademgorodok under the agreement no. 075-15-2025-349 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2026/7/20

Y1 - 2026/7/20

N2 - Abstract: This paper introduces and studies the 0.1-valued (weak) jump in the elementary degrees. For this operation, two jump inversion theorem are proved. The first jump inversion theorem shows that every elementary 0.1-valued degree above is elementary equivalent to the jump similarly with the Friedberg Jump Inversion Theorem for Turing degrees. The second jump inversion theorem describes the jumps of degrees below.

AB - Abstract: This paper introduces and studies the 0.1-valued (weak) jump in the elementary degrees. For this operation, two jump inversion theorem are proved. The first jump inversion theorem shows that every elementary 0.1-valued degree above is elementary equivalent to the jump similarly with the Friedberg Jump Inversion Theorem for Turing degrees. The second jump inversion theorem describes the jumps of degrees below.

KW - elementary degrees

KW - elementary reducibility

KW - jump operation

KW - элементарная сводимость

KW - элементарные степени

KW - операция скачка

UR - https://www.mendeley.com/catalogue/8732c826-cf1b-3e56-8006-cb36ac09492c/

UR - https://www.elibrary.ru/item.asp?id=91793880

UR - https://www.scopus.com/pages/publications/105045230736

U2 - 10.1134/S1995080226617157

DO - 10.1134/S1995080226617157

M3 - Article

VL - 47

SP - 1590

EP - 1597

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

ER -

ID: 83878406