Acta Mathematica Hungarica
Volume/Issue:
Volume 133: Issue 1-2
A counterexample to the paper “Weakly associated primes and primary decomposition of modules over commutative rings”
Author: Shahram Rezaei 1
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  • 1 Payame Noor University (PNU), Khomein, Iran
DOI:
https://doi.org/10.1007/s10474-011-0080-8
Page Count:
80–81
Publication Date:
01 Oct 2011
Online Publication Date:
02 Mar 2011
Article Category:
Research Article
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Abstract

In this note we will show that finitely generated condition is necessary in Theorem 1.2 of the above mentioned paper.

  • [1] Bourbaki, N. 1972 Commutative Algebra Addison-Wesley.

  • [2] Brodmann, M. P., Sharp, R. Y. 1998 Local Cohomology – An Algebric Introduction with Geometric Applications . Cambridge Uni. Press.

  • [3] Naghipour, R., Sedghi, M. 2006 Weakly associated primes and primary decomposition of modules over commutative rings Acta Math. Hungar. 110 1–12 .

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  • [4] Sharp, R. Y. 1976 Secondary representation for injective modules over commutative Noetherian rings Proc. Edinburg Math. Soc. 20 143–151 .

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632
Keywords:
primary decomposition; associated primes; 13E05; 13C99

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