Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A primary decomposition for torsion modules


Author: J. S. Alin
Journal: Proc. Amer. Math. Soc. 27 (1971), 43-48
MSC: Primary 16.40
DOI: https://doi.org/10.1090/S0002-9939-1971-0274496-4
MathSciNet review: 0274496
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A definition of primary module is given and a theorem is proved characterizing rings for which each torsion module, in the sense of S. E. Dickson, decomposes as a direct sum of its primary submodules. This theorem is applied to obtain a generalization of Fuchs' theorem on the additive group structure of Artinian rings.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16.40

Retrieve articles in all journals with MSC: 16.40


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0274496-4
Keywords: Torsion classes, Primary decomposition
Article copyright: © Copyright 1971 American Mathematical Society