Geodesic
Uniquely covered radical classes of $\ell$-groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 473-476 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some $\sigma $-complement radical class and the big atom over $\sigma $.
It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some $\sigma $-complement radical class and the big atom over $\sigma $.
Classification : 06E08, 06F15
Keywords: radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous 
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     title = {Uniquely covered radical classes of $\ell$-groups},
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     pages = {473--476},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_3_a2/}
}
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Zhang, Y.; Wang, Y. Uniquely covered radical classes of $\ell$-groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 473-476. http://geodesic.mathdoc.fr/item/CMJ_2001_51_3_a2/

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

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

[3] Y.  Zhang: Unique covering on radical classes of $\ell $-groups. Czechoslovak Math. J. 45(120) (1995), 435–441. | MR | Zbl