@article{ASENS_1975_4_8_2_189_0, author = {Fossum, Robert M. and Griffith, Phillip A.}, title = {Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {8}, year = {1975}, pages = {189-199}, doi = {10.24033/asens.1285}, mrnumber = {52 \#3142}, zbl = {0303.13015}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1975_4_8_2_189_0} }
Fossum, Robert M.; Griffith, Phillip A. Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$. Annales scientifiques de l'École Normale Supérieure, Tome 8 (1975) pp. 189-199. doi : 10.24033/asens.1285. http://gdmltest.u-ga.fr/item/ASENS_1975_4_8_2_189_0/
[A] Brauer Group of a Ringed Space (J. Algebra, vol. 4, 1966, p. 259-265). | MR 33 #7362 | Zbl 0144.03401
,[B] Anneaux d'invariants d'anneaux de polynômes, en caractéristique p (C. R. Acad. Sc., Paris, t. 264, série A, 1967, p. 653-656). | MR 35 #6661 | Zbl 0147.29503
,[CE] Homological Algebra, Princeton University Press, Princeton, 1956. | MR 17,1040e | Zbl 0075.24305
and ,[EGA] Éléments de Géométrie algébrique (I. H. E. S. Publ. Math., vol. I n° 4, 1960; vol. IV, n° 20, 1964; vol. IV, n° 24, 1965; vol. IV, n° 28, 1966; vol. IV, n° 32, 1967). | Numdam
et ,[F] Invariant Theory, New York-Amsterdam, Benjamin, 1969. | MR 39 #1458 | Zbl 0191.51701
,[Fo] The Divisor Class Group of a Krull Domain, (Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 74, Berlin-Heidelberg-New York, Springer, 1973). | MR 52 #3139 | Zbl 0256.13001
,[FG] A Complete Local Factorial Ring of Dimension 4 which is not Cohen-Macaulay (Bull. Amer. Math. Soc., vol. 81, 1975, p. 111-113). | MR 50 #9858 | Zbl 0301.13006
and ,[FK] Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen (Inventiones Math., vol. 24, 1974, p. 121-148). | MR 50 #324 | Zbl 0304.32018
und ,[HO] On the factoriality of local rings of small embedding codimension (Comm. Alg., vol. 1, 1974, p. 415-437). | MR 50 #322 | Zbl 0286.13013
, and ,[H 1] Cohen-Macaulay Modules. In Conference on Commutative Algebra (Lecture Notes in Math., No. 311, Berlin-Heidelberg-New York, Springer, 1973). | MR 49 #5006 | Zbl 0254.13030
,[H 2] Properties of Noetherian Rings Stable under General Grade Reduction (Archiv der Mathematik, vol. 24, 1973, p. 393-396). | MR 48 #8485 | Zbl 0268.13013
,[HR] Rings of Invariants of Reductive Groups Acting on Regular Rings are Cohen-Macaulay (Advances in Math., vol. 13, 1974, p. 115-175). | MR 50 #311 | Zbl 0289.14010
and ,[L] Unique Factorization in Complete Local Rings [Proceedings, 1974, Summer Institute on Algebraic Geometry, Arcata, California (to appear)]. | Zbl 0306.13005
,[M] A note on factorial rings. (Archiv der Math., vol. 15, 1964, p. 418-429). | MR 30 #3905 | Zbl 0123.03401
,[Sa] On Unique Factorization Domains (Ill. J. Math., vol. 5, 1961, p. 1-17). | MR 22 #12121 | Zbl 0147.29202
,[SaL] Classes de diviseurs et dérivées logarithmiques (Topology, vol. 3, Suppl. 1, 1964, p. 81-96). | MR 29 #3490 | Zbl 0127.26002
,[Se] Sur la topologie des variétés algébriques en caractéristique p (International Symposium on Algebraic Topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958). | MR 20 #4559 | Zbl 0098.13103
,[Y] Reflexive Modules and Algebra Class Groups over Noetherian Integrally Closed Domains (J. Algebra, vol. 32, 1974, p. 405-417). | MR 50 #9931 | Zbl 0297.13010
,