Y. Zhang, Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200029, P. R. of China, e-mail: zhangyuh@citiz.net; Y. Wang, Department of Mathematics, Anshan Normal College, 114005, P. R. of China, e-mail: yaowang@public.as.ln.cn
Abstract: 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 $\sigma$.
Keywords: radical class, atom, unique covering question, quasi-complement radical class, $\sigma$-homogeneous
Classification (MSC 2000): 06E08
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