Atoms in lattice of radical classes of lattice-ordered groups
Dao Rong Tong (1993)
Archivum Mathematicum
Similarity:
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 -radical class is closed under taking -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...