| [1] |
Abhyankar, S., On Macaulay’s examples, (Lecture Notes in Math., 311 (1973), Springer: Springer Berlin), 1-16 · Zbl 0259.13010 |
| [2] |
Akizuki, Y., Zur Idealtheorie der einartigen Ringberieche mit dem Teilerkettensatz, J. Math., 14, 85-102 (1938), Japan · JFM 64.0076.04 |
| [3] |
Bass, H., On the uniquity of Gorenstein rings, Math. Z., 82, 8-28 (1963) · Zbl 0112.26604 |
| [4] |
Brameret, M.-P., Larguers d’anneaux et de modules, Bull. Soc. Math. France, Mém., 8, 1-76 (1966) · Zbl 0154.03102 |
| [5] |
D. Buchsbaum and D. Eisenbud, Remarks on ideals and resolutions, preprint.; D. Buchsbaum and D. Eisenbud, Remarks on ideals and resolutions, preprint. · Zbl 0294.13009 |
| [6] |
Cohen, I. S., Commutative rings with restricted minimum condition, Duke Math. J., 17, 27-42 (1950) · Zbl 0041.36408 |
| [7] |
Dade, E. C., Rings in which no fixed power of ideal classes becomes invertible, Math. Ann., 148, 65-66 (1962) · Zbl 0113.03101 |
| [8] |
Dade, E. C.; Taussky, O.; Zassenhaus, H., On the theory of orders, in particular on the semi-group of ideal classes and genera of an order in an algebraic number field, Math. Ann., 148, 31-64 (1962) · Zbl 0113.26504 |
| [9] |
Drozd, Ju. A.; Kirečenko, V. V., On quasi-Bass orders, Math. USSR Izv., 6, 323-365 (1972) · Zbl 0251.13013 |
| [10] |
Ferrand, D.; Olivier, J.-P., Homomorphismes minimaux d’anneaux, J. Algebra, 16, 461-471 (1970) · Zbl 0218.13011 |
| [11] |
Ferrand, D.; Raynaud, M., Fibres formelles d’un anneau local Noethérien, Ann. Sci. Ecole Norm. Sup., 3, 295-311 (1970) · Zbl 0204.36601 |
| [12] |
Gilmer, R., On commutative rings of finite rank, Duke Math. J., 39 (1972) · Zbl 0237.13008 |
| [13] |
Gilmer, R.; Heinzer, W., On the number of generators of an invertible ideal, J. Algebra, 14, 139-151 (1970) · Zbl 0186.35201 |
| [14] |
Kaplansky, I., Projective modules, Ann. Math., 68, 372-377 (1958) · Zbl 0083.25802 |
| [15] |
Lipman, J., Stable ideals and Arf rings, Am. J. Math., 93, 649-685 (1971) · Zbl 0228.13008 |
| [16] |
Matlis, E., The two-generator problem for ideals, Michigan Math. J., 17, 257-265 (1970) · Zbl 0213.32001 |
| [17] |
Matlis, E., The multiplicity and reduction number of a one-dimensional local ring, Proc. London Math. Soc., 26, 273-288 (1973) · Zbl 0267.13010 |
| [18] |
Matlis, E., One-dimensional Cohen-Macaulay rings, (Lecture Notes in Math., 327 (1973), Springer: Springer Berlin) · Zbl 0264.13012 |
| [19] |
Nagata, M., Local Rings (1962), Interscience: Interscience New York · Zbl 0123.03402 |
| [20] |
Northcott, D., On the notion of a first neighborhood ring, Proc. Cambridge Philos. Soc., 53, 43-56 (1957) · Zbl 0082.03304 |
| [21] |
D. Rees, Estimates for the minimum number of generators of modules over Cohen- Macaulay local rings, preprint.; D. Rees, Estimates for the minimum number of generators of modules over Cohen- Macaulay local rings, preprint. |
| [22] |
J. Sally and W.V. Vasconcelos, Stable rings and a problem of Bass, Bull. Am. Math. Soc., to appear.; J. Sally and W.V. Vasconcelos, Stable rings and a problem of Bass, Bull. Am. Math. Soc., to appear. · Zbl 0259.13005 |
| [23] |
Swan, R., The number of generators of a module, Math. Z., 102, 318-322 (1967) · Zbl 0156.27403 |
| [24] |
Vasconcelos, W. V., On finitely generated flat-modules, Trans. Am. Math. Soc., 138, 505-512 (1969) · Zbl 0175.03603 |
| [25] |
W.V. Vasconcelos, Rings of global dimension two, preprint.; W.V. Vasconcelos, Rings of global dimension two, preprint. · Zbl 0248.13015 |
| [26] |
Wichman, M., The width of a module, Can. J. Math., 22, 102-115 (1970) · Zbl 0194.34703 |
