Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ASYMPTOTIC BEHAVIOUR OF IDEALS RELATIVE TO SOME MODULES OVER A COMMUTATIVE NOETHERIAN RING

  • ANSARI-TOROGHY, H. (Dept. of Mathematics, Faculty of Science, University of Guilan)
  • Received : 2001.01.30
  • Published : 2001.07.30
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Abstract

Let E be an injective module over a commutative Noetherian ring A. In this paper we will show that if I is regular ideal, then the sequence of sets $$Ass_A((I^n)^{{\star}(E)}/I^n),\;n{\in}N$$ is ultimately constant. Also we obtain some related results. (Here for an ideal J of A, $J^{{\star}(E)}$ denotes the integral closure of J relative to E.

Keywords

References

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