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Original Articles

EXTENSIONS R[α] ∩ R−1] AND R[α − a] ∩ R[(α − a)−1] OF A NOETHERIAN DOMAIN R

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Pages 5423-5431 | Received 01 Feb 2000, Published online: 16 Aug 2006

REFERENCES

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  • Kanemitsu , M. and Yoshida , K. 1995 . Some Properties of Extensions R[α] ∩ R[α−1] over Noetherian Domains R . Comm. Alg. , 23 : 4501 – 4507 .
  • Matsumura , H. 1980 . Commutative Algebra , 2nd ed. New York : Benjamin .
  • Mirbagheri , A. Jr. and Ratliff , L. J. 1982 . On the Intersection of Two Overrings, Houston . J. Math. , 8 : 525 – 535 .
  • Oda , S. and Yoshida , K. 1988 . Anti-integral Extensions of Noetherian Domains, Kobe . J. Math. , 5 : 43 – 56 .
  • Oda , S. , Sugatani , T. and Yoshida , K. 1993 . On Extensions R[α] ∩ R[α−1] of Noetherian Domains R . Mathematics Journal of Toyama University , 16 : 109 – 117 .
  • Oda , S. , Sato , J. and Yoshida , K. 1993 . High Degree Anti-integral Extensions of Noetherian Domains, Osaka . J. Math. , 30 : 119 – 135 .
  • Ratliff , L. J. Jr. 1973 . Conditions for Ker(R[X] → R[c/b]) to have a Linear Base . Proc. A.M.S. , 39 : 509 – 514 .

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