The integral closure of R(X) and R(X)

References

• Akiba , T. 1980 . On the normality of R(x) . J.Math. Kyoto Univ. , 20 : 749 – 752 .
   Google Scholar
• Brewer , J. , Costa , D. and Mc Krimmon , K. 1979 . Semi-normality and root closure in polynomial rings and algebraic curves . J. Algebra , 58 : 217 – 226 .
   Web of Science ®Google Scholar
• Gilmer , R. 1972 . Multiplicative Ideal Theory , New York : Dekker .
   Google Scholar
• Gilmer , R. and Heinzer , W. 1978 . On the divisors of monic polynomials over a commutative ring . Pac. J. Math. , 78 : 121 – 131 .
   Web of Science ®Google Scholar
• Gilmer , R. and Hoffman , J. 1975 . A characterization of Prüfer domains in terms of polynomials . Pac. J. Math. , 60 : 81 – 85 .
   Web of Science ®Google Scholar
• Huckaba , J. 1988 . Commutative Rings with Zero Divisors , New York : Dekker .
   Google Scholar
• Lambek , J. 1986 . Lecture on Rings and Modules , New York : Chelsea .
   Google Scholar
• Lucas , T. 1989 . Characterizing when R[x] is integrally closed . Proc. Amer. Math. Soc. , 105 : 861 – 867 .
   Web of Science ®Google Scholar
• Lucas , T. 1989 . Characterizing when R[X] is integrally closed, II . J. Pure Appl. Algebra , 61 : 49 – 52 .
   Web of Science ®Google Scholar
• Lucas , T. 1992 . The complete integral closure of R[X] . Trans. Amer. Math. Soc , 330 : 757 – 768 .
   Web of Science ®Google Scholar
• Lucas , T. 1993 . Strong Prüfer rings and the ring of finite fractions . J. Pure Appl. Algebra , 84 : 59 – 71 .
   Web of Science ®Google Scholar
• Nagata , M. 1962 . Local Rings , New York, London : Interscience .
   Google Scholar