Skip to main content Accessibility help
×
Home

Primary decompositions of torsion modules over domains

  • Laszlo Fuchs (a1) and Sang Bum Lee (a2)

Extract

In what follows, R will denote a commutative domain with 1, and Q(≠R) its field of quotients, which is viewed here as an R-module. By RP we denote the localization of R at the maximal ideal P, and more generally, by MP = RpRM the localization of the R-module M at P, which we define to be the P-component of M. The symbol R* will mean the multiplicative monoid of nonzero elements of R. For a submonoid S of R*, Rs will denote the localization of R at S.

Copyright

References

Hide All
1.Fuchs, L. and Lee, S. B.. Primary decompositions over domains. Glasgow Math. J., 38 (1996), 321326.
2.Heinzer, W. and Ohm, J.. Locally Noetherian commutative rings. Trans. Amer. Math. Soc., 178 (1971), 173184.
3.Jaffard, P.. Les systèmes d'idéaux. Travaux et Recherches Mathématiques. IV (Dunod, Paris, 1960).
4.Matlis, E.. Cotorsion modules. Memoirs Amer. Math. Soc., 49 (1964).
5.Richman, F.. Generalized quotient rings. Proc. Amer. Math. Soc., 16 (1965), 794799.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

MSC classification

Primary decompositions of torsion modules over domains

  • Laszlo Fuchs (a1) and Sang Bum Lee (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed