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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 352–360 (Mi smj860)  
This article is cited in 1 scientific paper (total in 1 paper)

Complexity of some natural problems on the class of computable $I$-algebras

N. T. Kogabaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (216 kB) Citations (1)
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Abstract: We study computable Boolean algebras with distinguished ideals ($I$-algebras for short). We prove that the isomorphism problem for computable $I$-algebras is $\Sigma_1^1$-complete and show that the computable isomorphism problem and the computable categoricity problem for computable $I$-algebras are $\Sigma_3^0$-complete.
Keywords: computable Boolean algebra with distinguished ideals, computable isomorphism, computably categorical structure, arithmetical complexity, analytical complexity.
Received: 01.02.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 291–297
DOI: https://doi.org/10.1007/s11202-006-0041-6
Bibliographic databases:
UDC: 510.53, 512.563
Language: Russian
Citation: N. T. Kogabaev, “Complexity of some natural problems on the class of computable $I$-algebras”, Sibirsk. Mat. Zh., 47:2 (2006), 352–360; Siberian Math. J., 47:2 (2006), 291–297
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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