A complete local factorial ring of dimension 4 which is not Cohen-Macaulay
HTML articles powered by AMS MathViewer
- by Robert M. Fossum and Phillip A. Griffith PDF
- Bull. Amer. Math. Soc. 81 (1975), 111-113
References
- Marie-José Bertin, Anneaux d’invariants d’anneaux de polynomes, en caractéristique $p$, C. R. Acad. Sci. Paris Sér. A-B 264 (1967), A653–A656 (French). MR 215826
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Robin Hartshorne and Arthur Ogus, On the factoriality of local rings of small embedding codimension, Comm. Algebra 1 (1974), 415–437. MR 347821, DOI 10.1080/00927877408548627
- Melvin Hochster, Cohen-Macaulay modules, Conference on Commutative Algebra (Univ. Kansas, Lawrence, Kan., 1972), Lecture Notes in Math., Vol. 311, Springer, Berlin, 1973, pp. 120–152. MR 0340251
- Melvin Hochster and Joel L. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Advances in Math. 13 (1974), 115–175. MR 347810, DOI 10.1016/0001-8708(74)90067-X
- M. Pavaman Murthy, A note on factorial rings, Arch. Math. (Basel) 15 (1964), 418–420. MR 173695, DOI 10.1007/BF01589225
- Pierre Samuel, On unique factorization domains, Illinois J. Math. 5 (1961), 1–17. MR 121382
- Pierre Samuel, Classes de diviseurs et dérivées logarithmiques, Topology 3 (1964), no. suppl, suppl. 1, 81–96 (French). MR 166213, DOI 10.1016/0040-9383(64)90006-0
- Jean-Pierre Serre, Sur la topologie des variétés algébriques en caractéristique $p$, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 24–53 (French). MR 0098097
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 111-113
- MSC (1970): Primary 13F15, 13H10
- DOI: https://doi.org/10.1090/S0002-9904-1975-13659-7
- MathSciNet review: 0357390