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Projectability and Splitting Property of Lattice Ordered Groups

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Abstract

In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.

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References

  1. M. Anderson, P. Conrad and O. Kenney: Splitting properties in archimedean `-groups. J. Austral. Math. Soc. 23 (1977), 247–256.

    Article  MATH  Google Scholar 

  2. S. J. Bernau: Lateral and Dedekind completion of archimedean lattice groups. J. London Math. Soc. 12 (1976), 320–322.

    MATH  MathSciNet  Google Scholar 

  3. S. Bernau: Orthocompletion of lattice ordered groups. Proc. London Math. Soc. 16 (1966), 107–130.

    MATH  MathSciNet  Google Scholar 

  4. P.F. Conrad: Lateral completion of lattice ordered groups. Proc. London Math. Soc. 19 (1969), 444–480.

    MATH  MathSciNet  Google Scholar 

  5. P.F. Conrad: The essential closure of an archimedean lattice group. Duke Math. J. 38 (1971), 151–160.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Jakubík: Splitting property of lattice ordered groups. Czechoslovak Math. J. 24 (1974), 257–269.

    MATH  MathSciNet  Google Scholar 

  7. J. Jakubík: Strongly projectable lattice ordered groups. Czechoslovak Math. J. 26 (1976), 642–652.

    MATH  MathSciNet  Google Scholar 

  8. J. Jakubík: Orthogonal hull of a strongly projectable lattice ordered group. Czechoslovak Math. J. 28 (1978), 484–504.

    MATH  MathSciNet  Google Scholar 

  9. J. Jakubík: Maximal Dedekind completion of an abelian lattice ordered group. Czechoslovak Math. J. 28 (1978), 611–631.

    MATH  MathSciNet  Google Scholar 

  10. J. Jakubík: Projectable kernel of a lattice ordered group. Universal Algebra and Applications. Banach Center Publ. 9 (1982), 105–112.

    MATH  Google Scholar 

  11. J. Jakubík: Lateral and Dedekind completion of a strongly projectable lattice ordered group. Czechoslovak Math. J. 47 (1997), 511–523.

    Article  MATH  MathSciNet  Google Scholar 

  12. J. Jakubík and M. Csontóová: Affine completeness of projectable lattice ordered groups. Czechoslovak Math. J. 48 (1998), 359–363.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Jakubík: Lateral completion of a projectable lattice ordered group. Czechoslovak Math. J. 50 (2000), 431–444.

    Article  MATH  MathSciNet  Google Scholar 

  14. A. V. Koldunov and G. Ya. Rotkovich: Archimedean lattice ordered groups with the splitting property. Czechoslovak Math. J. 37 (1987), 7–18. (In Russian.)

    MathSciNet  Google Scholar 

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  1. Matematický ústav SAV, Grešákova 6, 040 01, Košice, Slovakia

    Ján Jakubík

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  1. Ján Jakubík
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Jakubík, J. Projectability and Splitting Property of Lattice Ordered Groups. Czech Math J 53, 907–915 (2003). https://doi.org/10.1023/B:CMAJ.0000024529.43194.d7

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  • DOI: https://doi.org/10.1023/B:CMAJ.0000024529.43194.d7

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