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Primary decompositions of torsion modules over domains

Part of: Theory of modules and ideals

Published online by Cambridge University Press:  26 February 2010

Laszlo Fuchs  and
Sang Bum Lee
Laszlo Fuchs
Affiliation:
Department of Mathematics, Tulane University, New Orleans, Louisiana 70118, U.S.A. e-mail: fuchs@mailhost.tcs.tulane.edu
Sang Bum Lee
Affiliation:
Department of Mathematical Education, Sang Myung University, Seoul 110-743, Korea.
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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 = Rp⊗RM 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.

MSC classification

Secondary: 13C13: Other special types

Information

Type
Research Article
Information
Mathematika , Volume 44 , Issue 1 , June 1997 , pp. 88 - 99
Copyright
Copyright © University College London 1997

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References

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