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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The fundamental theorem on torsion classes of lattice-ordered groups


Author: Jorge Martinez
Journal: Trans. Amer. Math. Soc. 259 (1980), 311-317
MSC: Primary 06F15
MathSciNet review: 561839
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Abstract: 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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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0561839-7
PII: S 0002-9947(1980)0561839-7
Article copyright: © Copyright 1980 American Mathematical Society