Displaying similar documents to “Radical classes of distributive lattices having the least element”

Atoms in lattice of radical classes of lattice-ordered groups

Dao Rong Tong (1993)

Archivum Mathematicum

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There are several special kinds of radical classes. For example, a product radical class is closed under forming product, a closed-kernel radical class is closed under taking order closures, a K -radical class is closed under taking K -isomorphic images, a polar kernel radical class is closed under taking double polars, etc. The set of all radical classes of the same kind is a complete lattice. In this paper we discuss atoms in these lattices. We prove that every nontrivial element in...