S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of the groups autostable relative to strong constructivizations”, Sibirsk. Mat. Zh., 58:1 (2017), 95–103; Siberian Math. J., 58:1 (2017), 72

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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 1, Pages 95–103
DOI: https://doi.org/10.17377/smzh.2017.58.110 (Mi smj2843)

This article is cited in 9 scientific papers (total in 9 papers)

The index set of the groups autostable relative to strong constructivizations

S. S. Goncharov^ab, N. A. Bazhenov^ab, M. I. Marchuk^ab

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Full-text PDF (315 kB) Citations (9)

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DOI: https://doi.org/10.17377/smzh.2017.58.110

Abstract: We obtain an exact bound for the algorithmic complexity of the class of strongly constructivizable computable groups that are autostable relative to strong constructivizations.

Keywords: computable model, strongly constructivizable model, autostability, autostability relative to strong constructivizations, group,

$2$ -step nilpotent group, hyperarithmetical hierarchy, index set.

Funding agency	Grant number
Russian Foundation for Basic Research	14-01-00376 16-31-60058-мол_а_дк
Ministry of Education and Science of the Russian Federation	НШ-6848.2016.1
The first author was supported by the Russian Foundation for Basic Research (Grant 14-01-00376). The second author was supported by the Russian Foundation for Basic Research (Grant 16-31-60058-mol_a_dk). The third author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-6848.2016.1).

Received: 15.07.2016

English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 72–77
DOI: https://doi.org/10.1134/S0037446617010104

Bibliographic databases:

Document Type: Article

UDC: 510.5+512.54.0

MSC: 35R30

Language: Russian

Citation: S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of the groups autostable relative to strong constructivizations”, Sibirsk. Mat. Zh., 58:1 (2017), 95–103; Siberian Math. J., 58:1 (2017), 72–77

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Linking options:

https://www.mathnet.ru/eng/smj2843

https://www.mathnet.ru/eng/smj/v58/i1/p95

This publication is cited in the following 9 articles:

N. A. Bazhenov, M. I. Marchuk, “O spektrakh razreshimoi kategorichnosti dlya pochti prostykh modelei”, Algebra i logika, 62:4 (2023), 441–457
N. A. Bazhenov, M. I. Marchuk, “Decidable Categoricity Spectra for Almost Prime Models”, Algebra Logic, 62:4 (2023), 291
M. I. Marchuk, “Razreshimaya kategorichnost pochti prostykh modelei signatury grafov”, Matem. tr., 24:1 (2021), 117–141
M. I. Marchuk, “The Index Set of the Class of Autostable Ordered Abelian Groups”, Sib. Adv. Math., 31:1 (2021), 40
M. I. Marchuk, “On Decidable Categoricity for Almost Prime Models of the Signature of Graphs”, Sib. Adv. Math., 31:4 (2021), 283
M. I. Marchuk, “Indeksnoe mnozhestvo avtoustoichivykh uporyadochennykh abelevykh grupp”, Matem. tr., 23:1 (2020), 169–176
N. Bazhenov, M. Marchuk, “A note on decidable categoricity and index sets”, Sib. elektron. matem. izv., 17 (2020), 1013–1026
S. S. Goncharov, V. Harizanov, R. Miller, “On Decidable Categoricity and Almost Prime Models”, Sib. Adv. Math., 30:3 (2020), 200
N. A. Bazhenov, “Categoricity spectra of computable structures”, J. Math. Sci. (N. Y.), 256:1 (2021), 34–50

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	77
References:	62
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