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Rogers Semilattices of Families of Arithmetic Sets

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Algebra and Logic Aims and scope

Abstract

We look into algebraic properties of Rogers semilattices of arithmetic sets, such as the existence of minimal elements, minimal covers, and ideals without minimal elements.

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Authors and Affiliations

  1. KazSU, Masanchi 39/47, Almaty, 480012, Kazakhstan

    S. A. Badaev

  2. Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Russia

    S. S. Goncharov

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  1. S. A. Badaev
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  2. S. S. Goncharov
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Badaev, S.A., Goncharov, S.S. Rogers Semilattices of Families of Arithmetic Sets. Algebra and Logic 40, 283–291 (2001). https://doi.org/10.1023/A:1012516217265

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  • DOI: https://doi.org/10.1023/A:1012516217265

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