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On the Jakubík problem on radical classes of lattice ordered groups. (English) Zbl 0841.06015
Let $$\sigma$$ be a radical class, $$A' (\sigma)$$ be the class of all antiatoms over $$\sigma$$ in the lattice of all radical classes $$S$$ and $$\varepsilon' (\sigma)$$ be the supremum of $$A' (\sigma)$$. The author proves that there are $$\sigma, \tau\in S$$ such that $$A' (\sigma)\neq \emptyset$$, $$\sigma< \tau< \varepsilon' (\sigma)$$ and $$A' (\tau)= \emptyset$$.
##### MSC:
 06F15 Ordered groups