@article{CM_1990__76_1-2_277_0, author = {Popescu, Dorin and Roczen, Marko}, title = {Indecomposable {Cohen-Macaulay} modules and irreducible maps}, journal = {Compositio Mathematica}, pages = {277--294}, publisher = {Kluwer Academic Publishers}, volume = {76}, number = {1-2}, year = {1990}, mrnumber = {1078867}, zbl = {0715.13010}, language = {en}, url = {http://archive.numdam.org/item/CM_1990__76_1-2_277_0/} }
TY - JOUR AU - Popescu, Dorin AU - Roczen, Marko TI - Indecomposable Cohen-Macaulay modules and irreducible maps JO - Compositio Mathematica PY - 1990 SP - 277 EP - 294 VL - 76 IS - 1-2 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1990__76_1-2_277_0/ LA - en ID - CM_1990__76_1-2_277_0 ER -
Popescu, Dorin; Roczen, Marko. Indecomposable Cohen-Macaulay modules and irreducible maps. Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 277-294. http://archive.numdam.org/item/CM_1990__76_1-2_277_0/
[An] Localisation de la lissité formelle, Manuscripta Math. 13 (1974) 297-307. | MR | Zbl
,[Ar] Algebraic approximation of structures over complete local rings, Publ. Math. IHES 36 (1969) 23-58. | Numdam | MR | Zbl
,[AV] Reflexive modules over rational double points, Math. Ann. 270 (1985) 79-82. | MR | Zbl
and ,[Au1] Functors and morphisms determined by objects, Proc. Conf. on Representation Theory, Philadelphia 1976, Marcel Dekker, 1978, 1-244. | MR | Zbl
,[Au2] Rational singularities and almost split sequences, Trans. Amer. Math. Soc. 293 (1986) 511-531. | MR | Zbl
,[Au3] Isolated singularities and existence of almost split sequences, Proc. ICRA IV, Lect. Notes in Math. 1178 (1986) 194-241. | MR | Zbl
,[AR] Almost split sequences for rational double points, Trans. Amer. Math. Soc. 302 (1987) 87-97. | MR | Zbl
and ,[Ba] Applications of the Grothendieck duality theory to the study of normal isolated singularities, Rev. Roum. Math. Pures Appl. 24 (1979), 673-689. | MR | Zbl
,[BNP] Approximation properties and existential completeness for ring morphisms, Manuscripta Math. 33 (1981) 227-282. | MR | Zbl
, and ,[BR1] Sur la localisation de la lissité formelle, C.R. Acad. Sci. Paris 276 (1973) 439-441. | MR | Zbl
and ,[BR2] Excellent rings and good separation of the module of differentials, Rev. Roum. Math. Pures Appl. 23 (1978) 1455-1470. | MR | Zbl
and ,[BEH] Cohen-Macaulay modules on quadrics, in Proceedings, Lambrecht 1985, Lect. Notes in Math. 1273 (1987) 58-116. | MR | Zbl
, and :[BGS] Cohen-Macaulay modules on hypersurface singularities II, Invent. math. 88 (1987) 165-183. | MR | Zbl
, and :[Di] Reduction of isolated singularities: Comment. Math. Helvetici 62 (1987) 654-676. | MR | Zbl
:[E1] Solutions d'equations á coefficients dans un anneau hensélien, Ann. Sci. Ecole Norm. Sup. 4e serie 6 (1973) 533-604. | Numdam | MR | Zbl
:[EK] Reflexive modules over rational double points, Math. Ann. 272 (1985) 545-548. | MR | Zbl
and :[GK] Simple singularities in positive characteristic, Preprint, Bonn, Max-Planck Institut für Math. 19 (1988). | MR
and :[EGA] Elements de geometrie algebrique, Publ. Math. IHES (1964). | Numdam
and ,[He] Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay Moduln, Math. Ann. 233 (1978) 21-34. | MR | Zbl
:[HPR] Vinberg's characterization of Dynkin diagrams using subadditive functions with application to DTr-periodic modules, Proceedings of the third international conference on representations of algebras, Carleton University, Ottawa 1979, Springer Lecture Notes in Mathematics 832, 280-294. | MR | Zbl
, and ,[Kn] Cohen Macaulay modules on hypersurface singularities I, Invent. Math. 88 (1987) 153-165. | MR | Zbl
,[Li] Rational singularities with applications to algebraic surfaces and unique factorization, Publ. Math. IHES 36 (1969) 195-297. | Numdam | MR | Zbl
,[Ma1] Commutative Algebra, Benjamin, New York, 1970. | MR | Zbl
,[Ma2] Commutative Ring Theory, Cambridge University Press, Cambridge, 1986. | MR | Zbl
,[NP] A structure theorem on formally smooth morphisms in positive characteristic, J. of Algebra 100 (1986) 436-455. | MR | Zbl
and ,[Po1] General Néron desingularization and approximation, Nagoya Math. J. 104 (1986) 85-119. | MR | Zbl
,[Po2] Indecomposable Cohen Macaulay modules and their multiplicities, to appear in Trans. AMS. | MR | Zbl
,[Re] Finite dimensional algebras and singularities, in Proceedings, Lambrecht 1985, Springer Lecture Notes in Mathematics, 1273 (1987) 35-57. | MR | Zbl
,[Sc] Finite and countable CM-representation type, in Proceedings, Lambrecht 1985, Springer Lecture Notes in Mathematics, 1273 (1987) 9-34. | MR | Zbl
,[Yo] Brauer-Thrall type theorem for maximal Cohen-Macaulay modules, J. Math. Soc. Japan 39 (1987) 719-739. | MR | Zbl
,