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radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous
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 $.
[1] J.  Jakubík: Radical mappings and radical classes of lattice ordered groups. Sympos. Math. 21 (1977), 451–477. MR 0491397
[2] J.  Jakubík: Radical subgroups of lattice ordered groups. Czechoslovak Math.  J. 36(111) (1986), 285–297. MR 0831316
[3] Y.  Zhang: Unique covering on radical classes of $\ell $-groups. Czechoslovak Math. J. 45(120) (1995), 435–441. MR 1344508 | Zbl 0841.06016
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