Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ASYMPTOTIC STABILITY OF SOME SEQUENCES RELATED TO INTEGRAL CLOSURE

  • ANSARI-TOROGHY, H. (Dept. of Mathematics, Faculty of Science, University of Guilan)
  • Received : 2001.10.02
  • Published : 2002.07.30
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Abstract

In this paper we will show that if E is an injective module over a commutative ring A, then the sequence of sets $Ass_{A}(A/I^{n})^{*(E)}),\;n{\in}N,$ is increasing and ultimately constant. Also we will obtain some results concerning the integral closure of ideals related to some modules.

Keywords

References

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