@article{CTGDC_2001__42_3_163_0, author = {Rump, Wolfgang}, title = {Almost abelian categories}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {163--225}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {42}, number = {3}, year = {2001}, mrnumber = {1856638}, zbl = {1004.18009}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_2001__42_3_163_0/} }
TY - JOUR AU - Rump, Wolfgang TI - Almost abelian categories JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2001 SP - 163 EP - 225 VL - 42 IS - 3 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_2001__42_3_163_0/ LA - en ID - CTGDC_2001__42_3_163_0 ER -
%0 Journal Article %A Rump, Wolfgang %T Almost abelian categories %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2001 %P 163-225 %V 42 %N 3 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_2001__42_3_163_0/ %G en %F CTGDC_2001__42_3_163_0
Rump, Wolfgang. Almost abelian categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 42 (2001) no. 3, pp. 163-225. http://archive.numdam.org/item/CTGDC_2001__42_3_163_0/
[1] Fuller: Rings and Categories of Modules, New York - Heidelberg - Berlin 1974 | MR | Zbl
[2] Torsion theories induced by tilting modules, Can. J. Math. 36 (1984), 899-913 | MR | Zbl
:[3] Representation Theory of Artin Algebras I, Comm. in Algebra 1 (1974), 177-268 | MR | Zbl
:[4] The Structure of Locally Compact Abelian Groups, New York and Basel 1981 | MR | Zbl
:[5] Uniqueness in structure theorems for LCA groups, Can. J. Math. 30 (1978), 593-599 | MR | Zbl
, :[6] Sur les categories préabéliennes, Rev. Roum. Math. Pures Appl. 10 (1965), 621-633 | MR
, :[7] A generalization of Morita duality and the tilting theorem, Comm. in Alg. 17 (1989), 1709-1722 | MR | Zbl
:[8] Tilting, cotilting, and serially tilted rings, Comm. in Algebra 18 (1990), 1585-1615 | MR | Zbl
, :[9] Tilting Modules and Tilting Torsion Theories, J. Algebra 178 (1995), 614-634 | MR | Zbl
, :[10] A torsion theory for abelian categories, Trans. AMS 121 (1966), 223-235 | MR | Zbl
:[11] Foundation of relative homological algebra, Memoirs Amer. Math. Soc. 55 (1965) | MR | Zbl
, :[12] Representations in Abelian Categories, Proc. Conf. Categorial Algebra, La Jolla 1965, pp. 95-120 | MR | Zbl
:[13] Categories of continuous functors, I, J. Pure Appl. Algebra 2 (1972), 169-191 | MR | Zbl
, :[14] Représentations indécomposables des ensembles ordonnés, Sém. Dubreil 1972-73, Paris, exposé 13, p. 1-10 | Numdam | MR | Zbl
:[15] Calculus of Fractions and Homotopy Theory, Berlin - Heidelberg - New York 1967 | MR | Zbl
, :[16] Relative Homological Algebra, in: M. Hazewinkel (ed.): Handbook of Algebra, Vol. I, 1996, pp. 611-638 | MR | Zbl
:[17] Uniform boundedness for groups, Can. J. Math. 14 (1962), 269-277 | MR | Zbl
:[18] Tilted Algebras, Trans. AMS 274 (1982), 399-443 | MR | Zbl
, :[19] Homological algebra in abelian categories, Ann. of Math. 68 (1958), 484-525 | MR | Zbl
:[20] Der kanonische Modul eines Cohen-Macaulay-Rings, Lecture Notes in Math. 238, Berlin - Heidelberg - New York 1971 | MR | Zbl
, :[21] Abstract Harmonic Analysis I, Berlin- Heidelberg - New York 1979 | Zbl
, :[22] Some categories of lattices associated to a central idem-potent, J. Math. Kyoto Univ. 38 (1998), 487-501 | MR | Zbl
:[23] Functorial factorization, wellpointedness, and separability, J. Pure Appl. Algebra 142 (1999), 99-130 | MR | Zbl
, :[24] Monomorphisms, epimorphisms, and pull-backs, J. Austral. Math. Soc. 9 (1969), 124-142 | MR | Zbl
:[25] Indecomposable representations of finite ordered sets, Proc. ICRA 1974, in: Lecture Notes in Math. 488 (1975), 201-209 | MR | Zbl
:[26] Categories for the Working Mathematician, New York 1969 | Zbl
:[27] Injective Structures; Trans. AMS 110 (1964), 98-135 | MR | Zbl
:[28] Homological Algebra in Locally Compact Abelian Groups, Trans. AMS 127 (1967), 361-404 | MR | Zbl
:[29] Roĭter: Representations of partially ordered sets, Zapiski Nauchn. Sem. LOMI 28 (1972), 5-31 = J. Soviet Math. 3 (1975), 585-606 | MR | Zbl
[30] Une immersion de la catégorie des espaces bornologiques convexes séparés dans une catégorie abélienne, C. R. Acad. Sc. Paris 269 (1969), Sér. A, 195-197 | MR | Zbl
:[31] Higher algebraic K-theory, I, in: LNM 341, Berlin 1973, pp. 85-147 | MR | Zbl
:[32] Semiabelian Categories, Soviet Math. Doklady 10 (1969), 1242-1245 | MR
:[33] Two-dimensional tame and maximal orders of finite representation type, Mem. AMS 408 (1989) | MR | Zbl
, :[34] Ext in pre-abelian categories, Pacific J. Math. 71 (1977), 521-535 | MR | Zbl
, :[35] Morita Duality without Rings, in preparation
:[36] Topological Vector Spaces, New York 1971 | MR | Zbl
:[37] Torsion theories and tilting modules, Bull. London Math. Soc. 16 (1984), 518-522 | MR | Zbl
:[38] Rings of Quotients, New York - Heidelberg - Berlin 1975 | MR | Zbl
:[39] Etude spectrale des algèbres complètes, Acad. R. Belgique, Mém. Cl. des Sc., 1960 | MR | Zbl
:[40] Les quotients de b-espaces, Bull. Soc. Math. France, Mém. 31-32 (1972), 389-394 | Numdam | MR | Zbl
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