REFERENCES
- Anderson , D. D. , Dobbs , D. E. , Mullins , B. ( 1999 ). The primitive element theorem for commutative algebras . Houston J. Math. 25 : 603 – 623 . Corrigendum (2002), 28:217–219 .
- Anderson , D. F. , Dobbs , D. E. ( 1980 ). Pairs of rings with the same prime ideals . Can. J. Math. 32 : 362 – 384 .
- Atiyah , M. F. , Macdonald , I. G. ( 1969 ). Introduction to Commutative Algebra . Reading : Addison-Wesley .
- Bastida , E. , Gilmer , R. ( 1973 ). Overrings and divisorial ideals of rings of the form D + M . Michigan Math. J. 20 : 79 – 95 .
- Dobbs , D. E. ( 2002 ). On chains of overrings of an integral domain . Inter. J. Commut. Rings 1 : 173 – 179 .
- Ferrand , D. , Olivier , J.-P. ( 1970 ). Homomorphismes minimaux d'anneaux . J. Algebra 16 : 461 – 471 .
- Gilmer , R. ( 1972 ). Multiplicative Ideal Theory . New York : Dekker .
- Gilmer , R. ( 2003 ). Some finiteness conditions on the set of overrings of an integral domain . Proc. Amer. Math. Soc. 131 : 2337 – 2346 .
- Gilmer , R. , Heinzer , W. ( 1967 ). Intersections of quotient rings of an integral domain . J. Math. Kyoto Univ. 7 : 133 – 150 .
- Jaballah , A. ( 2005 ). The number of overrings of an integrally closed domain . Expo. Math. 23 : 353 – 360 .
- Kaplansky , I. ( 1974 ). Commutative Rings . Rev. ed. Chicago : Univ. Chicago Press .
- Sato , J. , Sugatani , T. , Yoshida , K. I. ( 1992 ). On minimal overrings of a Noetherian domain . Comm. Algebra 20 : 1746 – 1753 .
- Communicated by I. Swanson.