Maximal orders over regular local rings of dimension two
HTML articles powered by AMS MathViewer
- by Mark Ramras
- Trans. Amer. Math. Soc. 142 (1969), 457-479
- DOI: https://doi.org/10.1090/S0002-9947-1969-0245572-2
- PDF | Request permission
References
- Maurice Auslander, On the dimension of modules and algebras. III. Global dimension, Nagoya Math. J. 9 (1955), 67–77. MR 74406, DOI 10.1017/S0027763000023291
- M. Auslander, Remarks on a theorem of Bourbaki, Nagoya Math. J. 27 (1966), 361–369. MR 193109, DOI 10.1017/S0027763000012113
- Maurice Auslander and David A. Buchsbaum, Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405. MR 86822, DOI 10.1090/S0002-9947-1957-0086822-7
- Maurice Auslander and Oscar Goldman, Maximal orders, Trans. Amer. Math. Soc. 97 (1960), 1–24. MR 117252, DOI 10.1090/S0002-9947-1960-0117252-7
- Maurice Auslander and Oscar Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 121392, DOI 10.1090/S0002-9947-1960-0121392-6
- Hyman Bass, Injective dimension in Noetherian rings, Trans. Amer. Math. Soc. 102 (1962), 18–29. MR 138644, DOI 10.1090/S0002-9947-1962-0138644-8
- N. Bourbaki, Éléments de mathématique. Fasc. XXXI. Algèbre commutative. Chapitre 7: Diviseurs, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1314, Hermann, Paris, 1965 (French). MR 0260715
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Samuel Eilenberg and Tadasi Nakayama, On the dimension of modules and algebras. II. Frobenius algebras and quasi-Frobenius rings, Nagoya Math. J. 9 (1955), 1–16. MR 73577, DOI 10.1017/S0027763000023229
- Eben Matlis, Applications of duality, Proc. Amer. Math. Soc. 10 (1959), 659–662. MR 106937, DOI 10.1090/S0002-9939-1959-0106937-1
- L. Silver, Noncommutative localizations and applications, J. Algebra 7 (1967), 44–76. MR 217114, DOI 10.1016/0021-8693(67)90067-1
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 142 (1969), 457-479
- MSC: Primary 13.95; Secondary 16.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0245572-2
- MathSciNet review: 0245572