Bulletin of the American Mathematical Society

On Prüfer rings

Robert Gilmer

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 78, Number 2 (1972), 223-224.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183533476

Mathematical Reviews number (MathSciNet)
MR0319980

Zentralblatt MATH identifier
0228.13005

Subjects
Primary: 1310 1315 1320
Secondary: 1350 1398

Citation

Gilmer, Robert. On Prüfer rings. Bull. Amer. Math. Soc. 78 (1972), no. 2, 223--224. https://projecteuclid.org/euclid.bams/1183533476


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References

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  • 2. N. Bourbaki, Elements de mathématique. Fasc. XXXI. Algèbre commutative. Chap. 7: Diviseurs, Actualités Sci. Indust, no. 1314, Hermann, Paris, 1965. MR 41 #5339.
  • 3. H. S. Butts and W. W. Smith, Prüfer rings, Math. Z. 95 (1967), 196-211. MR 35 # 173.
  • 4. R. Gilmer, Multiplicative ideal theory, Queen's Series in Pure and Appl. Math., no. 12, Queen's University, Kingston, Ontario, 1968.
  • 5. M. Griffin, Prüfer rings with zero divisors, J. Reine Angew. Math. 239/240 (1969), 55-67. MR 41 #188.
  • 6. M. Griffin, Valuation theory and multiplication rings, Queen's University Preprint no. 1970-37.
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  • 8. M. Larsen, Equivalent conditions for a ring to be a V-ring and a note on flat overrings, Duke Math. J. 34 (1967), 273-280. MR 35 # 174.
  • 9. M. Larsen, Ideal theory in Prüfer rings with zero divisors (to appear).
  • 10. M. E. Manis, Valuations on a commutative ring, Proc. Amer. Math. Soc. 20 (1969), 193-198. MR 38 #2134.
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  • 12. M. Nagata, Local rings, Interscience Tracts in Pure and Appl. Math., no. 13, Inter- science, New York, 1962. MR 27 #5790.