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Uniquely Covered Radical Classes of ℓ-Groups

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Abstract

It is proved that a radical class σ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some σ-complement radical class and the big atom over σ.

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References

  1. J. Jakubík: Radical mappings and radical classes of lattice ordered groups. Sympos. Math. 21 (1977), 451–477.

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  2. J. Jakubík: Radical subgroups of lattice ordered groups. Czechoslovak Math. J. 36(111) (1986), 285–297.

  3. Y. Zhang: Unique covering on radical classes of ℓ-groups. Czechoslovak Math. J. 45(120) (1995), 435–441.

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Authors
  1. Y. Zhang
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  2. Y. Wang
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Zhang, Y., Wang, Y. Uniquely Covered Radical Classes of ℓ-Groups. Czechoslovak Mathematical Journal 51, 473–476 (2001). https://doi.org/10.1023/A:1013771603427

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  • DOI: https://doi.org/10.1023/A:1013771603427

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