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Original Articles

Complete Integral Closure and Strongly Divisorial Prime Ideals

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Pages 5447-5465 | Received 01 Apr 2002, Published online: 31 Aug 2006

References

  • Anderson , D. F. 1983 . When the dual of an ideal is a ring . Houston J. Math. , 9 : 325 – 332 .
  • Anderson , D. D. and Anderson , D. F. 1995 . “ The ring R[X, r/X] ” . In Zero-dimensional Commutative Rings (Knoxville, TN,1994) , Lecture Notes in Pure and Appl. Math. Vol. 171 , 95 – 113 . New York : Dekker .
  • Barucci , V. 1986 . Strongly divisorial ideals and complete integral closure of an integral domain . J. Algebra , 99 : 132 – 142 .
  • Barucci , V. and Houston , E. 1996 . On the prime spectrum of a Mori domain . Comm. Algebra , 24 : 3599 – 3622 .
  • Chapman , S. and Glaz , S. 2000 . Non-Noetherian Commutative Ring Theory Kluwer Academic Publishers .
  • Fontana , M. , Huckaba , J. A. and Papick , I. J. 1997 . Prüfer Domains Dekker .
  • Gabelli , S. 1989 . Completely integrally closed domains and t-ideals . Bollettino U.M.I. , 3-B : 327 – 342 .
  • Gilmer , R. 1984 . Commutative Semigroup Rings The University of Chicago Press .
  • Gilmer , R. and Heitmann , R. 1980 . On Pic(R[X]) for R seminormal . J. Pure Appl. Algebra , 16 : 251 – 257 .
  • Halter-Kock , F. 1998 . “ Ideal systems ” . In An Introduction to Multiplicative Ideal Theory , Monographs and Textbooks in Pure and Applied Mathematics Vol. 211 , Marcel Dekker .
  • Houston , E. G. and Zafrullah , M. 1988 . Integral domains in which each t-ideal is divisorial . Michigan Math. J. , 35 : 291 – 300 .
  • Houston , E. G. , Kabbaj , S.-E. , Lucas , T. G. and Mimouni , A. 2000 . When is the dual of an ideal a ring? . J. Algebra , 225 : 429 – 450 .

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