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Table of contents for this issue | Previous article | Next article Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. Complete intersection dimension. Publications Mathématiques de l'IHÉS, 86 (1997), p. 67-114 Full text djvu | pdf | Reviews MR 99c:13033 | Zbl 0918.13008 stable URL: http://www.numdam.org/item?id=PMIHES_1997__86__67_0 Bibliography [2] D. ANICK, A counterexample to a conjecture of Serre, Ann. of Math. 115 ( [3] M. ANDRÉ, Hopf algebras with divided powers, J. Algebra 18 ( [4] E. F. ASSMUS, Jr., On the homology of local rings, Ill. J. Math. 3 ( [5] M. AUSLANDER, M. BRIDGER, Stable module theory, Mem. Amer. Math. Soc. 94 ( [6] L. L. AVRAMOV, Obstructions to the existence of multiplicative structures on minimal free resolutions, Amer. J. Math. 103 ( [7] L. L. AVRAMOV, Local algebra and rational homotopy, Homotopie algébrique et algèbre locale (J.-M. LEMAIRE, J.-C. THOMAS, eds.), Astérisque, vol. 113-114, Soc. Math. France, Paris, [8] L. L. AVRAMOV, Modules of finite virtual projective dimension, Invent. math. 96 ( Article | MR 90g:13027 | Zbl 0677.13004 [9] L. L. AVRAMOV, Homological asymptotics of modules over local rings, Commutative algebra (M. HOCHSTER, C. HUNEKE, J. SALLY, eds.), MSRI Publ., vol. 15, Springer, New York, [10] L. L. AVRAMOV, Local rings over which all modules have rational Poincaré series, J. Pure Appl. Algebra 91 ( [11] L. L. AVRAMOV, A. R. KUSTIN, M. MILLER, Poincaré series of modules over local rings of small embedding codepth or small linking number, J. Algebra 118 ( [12] L. L. AVRAMOV, L.-C. SUN, Cohomology operators defined by a deformation, J. Algebra, to appear. Zbl 0915.13009 [13] D. J. BENSON, J. F. CARLSON, Projective resolutions and Poincaré duality complexes, Trans. Amer. Math. Soc. 342 ( [14] N. BOURBAKI, Algèbre. III, Nouvelle édition, Paris, Hermann, [15] N. BOURBAKI, Algèbre commutative. IX, Paris, Masson, [16] R.-O. BUCHWEITZ, G.-M. GREUEL, F. SCHREYER, Cohen-Macaulay modules on hypersurface singularities. II, Invent. math. 88 ( Article | MR 88d:14005 | Zbl 0617.14034 [17] J. A. EAGON, M. HOCHSTER, R-sequences and indeterminates, Quart. J. Math. Oxford Ser. (2) 25 ( [18] D. EISENBUD, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 ( [19] D. EISENBUD, S. GOTO, Linear free resolutions and minimal multiplicity, J. Algebra 88 ( [20] Y. FÉLIX, S. HALPERIN, C. JACOBSSON, C. LÖFWALL, J.-C. THOMAS, The radical of the homotopy Lie algebra, Amer. J. Math., 110 ( [21] V. N. GASHAROV, I. V. PEEVA, Boundedness versus periodicity over commutative local rings, Trans. Amer. Math. Soc. 320 ( [22] A. GROTHENDIECK, Éléments de géométrie algébrique. IV2, Publ. Math. IHES 24 ( Numdam | Zbl 0135.39701 [23] T. H. GULLIKSEN, A change of rings theorem, with applications to Poincaré series and intersection multiplicity, Math. Scand. 34 ( Article | MR 51 #487 | Zbl 0292.13009 [24] T. H. GULLIKSEN, On the deviations of a local ring, Math. Scand. 47 ( Article | MR 82c:13022 | Zbl 0458.13010 [25] J. HERZOG, B. ULRICH, J. BACKELIN, Linear maximal Cohen-Macaulay modules over strict complete intersections, J. Pure Appl. Algebra 71 ( [26] A. R. KUSTIN, S. M. PALMER, The Poincaré series of every finitely generated module over a codimension 4 almost complete intersection is a rational function, J. Pure Appl. Algebra 95 ( [27] S. MACLANE, Homology, Grundlehren Math. Wiss., vol. 114, Springer, Berlin, [28] Yu. I. MANIN, Some remarks on Koszul algebras and quantum groups, Ann. Inst. Fourier (Grenoble) 37 ( Numdam | MR 89e:16022 | Zbl 0625.58040 [29] H. MATSUMURA, Commutative ring theory, Stud. Adv. Math., vol. 8, Cambridge, Univ. Press, [30] V. B. MEHTA, Endomorphisms of complexes and modules over Golod rings, Ph. D. Thesis, Univ. of California, Berkeley, [31] J. W. MILNOR, J. C. MOORE, On the structure of Hopf algebras, Ann. of Math. (2) 81 ( [32] M. NAGATA, Local rings, New York, Wiley, [33] J. SHAMASH, The Poincaré series of a local rings, J. Algebra 12 ( [34] G. SJÖDIN, Hopf algebras and derivations, J. Algebra 64 ( [35] L.-C. SUN, Growth of Betti numbers over local rings of small embedding codepth or small linking number, J. Pure Appl. Algebra 96 ( [36] J. TATE, Homology of Noetherian rings and of local rings, Ill. J. Math. 1 ( |
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