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Original Articles

ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes

Pages 1213-1218 | Received 01 Oct 2002, Published online: 01 Feb 2007

References

  • Costa , D. L. 1990 . Some remarks on the acc on annihilators . Comm. Algebra , 18 : 635 – 658 .
  • Frohn , D. 2002a . A counterexample concerning accp in power series rings . Comm. Algebra , 30 : 2961 – 2966 . [CROSSREF]
  • Frohn , D. 2002b . Modules with n-acc and the acc on certain types of annihilators . J. Algebra , 256 : 467 – 483 . [CROSSREF]
  • Frohn , D. 2002c . Moduln mit aufsteigender Kettenbedingung für n-erzeugte Untermoduln und bestimmte Annihilatoren. Dissertation, Universität Hannover
  • Heinzer , W. and Lantz , D. 1983 . Commutative rings with ACC on n-generated ideals . J. Algebra , 80 : 261 – 278 .
  • Heinzer , W. and Lantz , D. 1994 . ACCP in polynomial rings: A counterexample . Proc. Amer. Math. Soc. , 121 : 975 – 977 .
  • Kaplansky , I. 1970 . Commutative Rings Boston : Allyn and Bacon .
  • #Communicated by W. Bruns.

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