The fundamental theorem on torsion classes of lattice-ordered groups

Jorge Martínez · Transactions of the American Mathematical Society · 1980

This paper generalizes the earlier notion of a torsion class to a setting where its significance can be fully realized. The dual notion of a torsion-free class is herein defined and the fundamental Connection Theorem is proved. In addition, a few restrictions are considered, in particular, how to view the application of the main theorem to the hereditary classes.

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