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The 𝒜 r -free products of archimedean l -groups

Dao Rong Tong — 1998

Czechoslovak Mathematical Journal

The objective of this paper is to give two descriptions of the 𝒜 r -free products of archimedean -groups and to establish some properties for the 𝒜 r -free products. Specifically, it is proved that 𝒜 r -free products satisfy the weak subalgebra property.

Free -groups and free products of -groups

Dao Rong Tong — 1994

Commentationes Mathematicae Universitatis Carolinae

In this paper we have given the construction of free -groups generated by a po-group and the construction of free products in any sub-product class 𝒰 of i -groups. We have proved that the 𝒰 -free products satisfy the weak subalgebra property.

Atoms in lattice of radical classes of lattice-ordered groups

Dao Rong Tong — 1993

Archivum Mathematicum

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 these lattices...

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