# ASYMPTOTIC STABILITY OF SOME SEQUENCES RELATED TO INTEGRAL CLOSURE

• ANSARI-TOROGHY, H. (Dept. of Mathematics, Faculty of Science, University of Guilan)
• Published : 2002.07.30
• 35 5

#### 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

integral closure;associated primes;asymptotic stability

#### References

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