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Σ-bounded algebraic systems and universal functions. II

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Abstract

Ershov algebras, Boolean algebras, and abelian p-groups are Σ-bounded systems, and there exist universal Σ-functions in hereditarily finite admissible sets over them.

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. N. Khisamiev

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  1. A. N. Khisamiev
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Correspondence to A. N. Khisamiev.

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Original Russian Text Copyright © 2010 Khisamiev A. N.

The author was supported by the Russian Foundation for Basic Research (Grant 09-01-12140), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-335.2008.1), and the President of the Russian Federation (Grant MK-3721.2007.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 3, pp. 676–693, May–June, 2010.

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Khisamiev, A.N. Σ-bounded algebraic systems and universal functions. II. Sib Math J 51, 537–551 (2010). https://doi.org/10.1007/s11202-010-0056-x

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  • DOI: https://doi.org/10.1007/s11202-010-0056-x

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