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Algebra and Logic

, Volume 40, Issue 5, pp 283–291 | Cite as

Rogers Semilattices of Families of Arithmetic Sets

  • S. A. Badaev
  • S. S. Goncharov
Article

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.

Keywords

Mathematical Logic Minimal Element Algebraic Property Minimal Cover Rogers Semilattices 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • S. A. Badaev
    • 1
  • S. S. Goncharov
    • 2
  1. 1.KazSUAlmatyKazakhstan
  2. 2.Institute of Mathematics, Siberian BranchRussian Academy of SciencesRussia

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