Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COPRIMELY PACKED RINGS (II)

  • CHO, YONG HWAN (Dept. of Mathematics Education, Chonbuk National University)
  • Received : 1999.03.30
  • Published : 1999.07.30
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Abstract

In this paper we show that in case of Noetherian ring R(1) if R is coprimely packed then R((X)) is coprimely packed and (2) if Max(R) is coprimely packed then so is MaxR((X)).

Keywords

Acknowledgement

Supported by : research funds of Chonbuk National University

References

  1. power series over commutative rings Brewer, J.W.
  2. Journal of pure and applied algebra Three note on coprime packedness Erdogdu
  3. Com.in Algebra v.23 no.3 The prime avoidance of maximal ideals in commutative rings Erdogdu
  4. Multiplicative ideal theory Gilmer, R.
  5. Commutative rings with zero divisors Huckaba, J.A.
  6. J. Korean Math. Soc. v.25 no.2 A note on the quotient ring R((X)) on the power series ring R[[X]] Kim, J.H.
  7. Bull.of Honam Math.Soc. v.12 Coprimely packed rings Cho, Y.H.