Discrete valuation domains and ranks of their maximal extension
Rendiconti del Seminario Matematico della Università di Padova (1986)
- Volume: 75, page 143-156
- ISSN: 0041-8994
Access Full Article
topHow to cite
topReferences
top- [1] N. Bourbaki, Éléments de mathématique: algèbre commutative, Chap. 5, 6, Hermann, Paris, 1964. Zbl1101.13300MR2272929
- [2] R. Gilmer, Multiplicative ideal theory, Marcel Dekker Inc., New York, 1972. Zbl0248.13001MR427289
- [3] E. Matlis, Injective modules over Prufer rings, Nagoya Math. J., 15 (1959), pp. 57-69. Zbl0090.25305MR109840
- [4] E. Matlis, Torsion-free modules, Univ. of Chicago Press, Chicago, 1972. Zbl0298.13001MR344237
- [5] H. Matsumura, Commutative Algebra, W. A. Benjamin, New York, 1970. Zbl0211.06501MR266911
- [6] M. Nagata, Local Rings, Wiley (Interscience), New York, 1962. Zbl0123.03402MR155856
- [7] P. Ribenboim, On the completion of a valuation ring, Math. Annalen, 155 (1964), pp. 392-396. Zbl0136.32102MR164960
- [8] L. Salce - P. ZANARDO, Some cardinal invariants for valuation domains, Rend. Sem. Mat. Univ. Padova, 74 (1985). Zbl0596.13015MR818727
- [9] D.W. Sharpe - P. Vámos, Injective modules, Cambridge Univ. Press, Cambridge, 1972. Zbl0245.13001MR360706
- [10] P. Zanardo, Valuation domains without pathological modules, to appear in J. Algebra. Zbl0612.13009MR808835
- [11] S. Warner, Residual fields in valuation theory, to appear in Math. Scandinavica. Zbl0559.12014MR813637