@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}, volume = {42}, year = {2001}, pages = {163-225}, mrnumber = {1856638}, zbl = {1004.18009}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_2001__42_3_163_0} }
Rump, Wolfgang. Almost abelian categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 42 (2001) pp. 163-225. http://gdmltest.u-ga.fr/item/CTGDC_2001__42_3_163_0/
[1] Fuller: Rings and Categories of Modules, New York - Heidelberg - Berlin 1974 | MR 417223 | Zbl 0301.16001
[2] Torsion theories induced by tilting modules, Can. J. Math. 36 (1984), 899-913 | MR 762747 | Zbl 0539.16022
:[3] Representation Theory of Artin Algebras I, Comm. in Algebra 1 (1974), 177-268 | MR 349747 | Zbl 0285.16028
:[4] The Structure of Locally Compact Abelian Groups, New York and Basel 1981 | MR 637201 | Zbl 0509.22003
:[5] Uniqueness in structure theorems for LCA groups, Can. J. Math. 30 (1978), 593-599 | MR 578649 | Zbl 0358.22001
, :[6] Sur les categories préabéliennes, Rev. Roum. Math. Pures Appl. 10 (1965), 621-633 | MR 194488
, :[7] A generalization of Morita duality and the tilting theorem, Comm. in Alg. 17 (1989), 1709-1722 | MR 1006521 | Zbl 0677.16026
:[8] Tilting, cotilting, and serially tilted rings, Comm. in Algebra 18 (1990), 1585-1615 | MR 1059750 | Zbl 0703.16013
, :[9] Tilting Modules and Tilting Torsion Theories, J. Algebra 178 (1995), 614-634 | MR 1359905 | Zbl 0849.16033
, :[10] A torsion theory for abelian categories, Trans. AMS 121 (1966), 223-235 | MR 191935 | Zbl 0138.01801
:[11] Foundation of relative homological algebra, Memoirs Amer. Math. Soc. 55 (1965) | MR 178036 | Zbl 0129.01101
, :[12] Representations in Abelian Categories, Proc. Conf. Categorial Algebra, La Jolla 1965, pp. 95-120 | MR 209333 | Zbl 0202.32402
:[13] Categories of continuous functors, I, J. Pure Appl. Algebra 2 (1972), 169-191 | MR 322004 | Zbl 0257.18005
, :[14] Représentations indécomposables des ensembles ordonnés, Sém. Dubreil 1972-73, Paris, exposé 13, p. 1-10 | Numdam | MR 439695 | Zbl 0329.16019
:[15] Calculus of Fractions and Homotopy Theory, Berlin - Heidelberg - New York 1967 | MR 210125 | Zbl 0186.56802
, :[16] Relative Homological Algebra, in: M. Hazewinkel (ed.): Handbook of Algebra, Vol. I, 1996, pp. 611-638 | MR 1421813 | Zbl 0855.18011
:[17] Uniform boundedness for groups, Can. J. Math. 14 (1962), 269-277 | MR 155923 | Zbl 0109.02001
:[18] Tilted Algebras, Trans. AMS 274 (1982), 399-443 | MR 675063 | Zbl 0503.16024
, :[19] Homological algebra in abelian categories, Ann. of Math. 68 (1958), 484-525 | MR 100622 | Zbl 0084.26704
:[20] Der kanonische Modul eines Cohen-Macaulay-Rings, Lecture Notes in Math. 238, Berlin - Heidelberg - New York 1971 | MR 412177 | Zbl 0231.13009
, :[21] Abstract Harmonic Analysis I, Berlin- Heidelberg - New York 1979 | Zbl 0416.43001
, :[22] Some categories of lattices associated to a central idem-potent, J. Math. Kyoto Univ. 38 (1998), 487-501 | MR 1661224 | Zbl 0935.16006
:[23] Functorial factorization, wellpointedness, and separability, J. Pure Appl. Algebra 142 (1999), 99-130 | MR 1715403 | Zbl 0953.18001
, :[24] Monomorphisms, epimorphisms, and pull-backs, J. Austral. Math. Soc. 9 (1969), 124-142 | MR 240161 | Zbl 0169.32604
:[25] Indecomposable representations of finite ordered sets, Proc. ICRA 1974, in: Lecture Notes in Math. 488 (1975), 201-209 | MR 412210 | Zbl 0362.06004
:[26] Categories for the Working Mathematician, New York 1969 | Zbl 0705.18001
:[27] Injective Structures; Trans. AMS 110 (1964), 98-135 | MR 163937 | Zbl 0121.26601
:[28] Homological Algebra in Locally Compact Abelian Groups, Trans. AMS 127 (1967), 361-404 | MR 215016 | Zbl 0149.26302
:[29] Roĭter: Representations of partially ordered sets, Zapiski Nauchn. Sem. LOMI 28 (1972), 5-31 = J. Soviet Math. 3 (1975), 585-606 | MR 340121 | Zbl 0336.16031
[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 247412 | Zbl 0177.15902
:[31] Higher algebraic K-theory, I, in: LNM 341, Berlin 1973, pp. 85-147 | MR 338129 | Zbl 0292.18004
:[32] Semiabelian Categories, Soviet Math. Doklady 10 (1969), 1242-1245 | MR 255639
:[33] Two-dimensional tame and maximal orders of finite representation type, Mem. AMS 408 (1989) | MR 978602 | Zbl 0677.16002
, :[34] Ext in pre-abelian categories, Pacific J. Math. 71 (1977), 521-535 | MR 444742 | Zbl 0354.18018
, :[35] Morita Duality without Rings, in preparation
:[36] Topological Vector Spaces, New York 1971 | MR 276721 | Zbl 0217.16002
:[37] Torsion theories and tilting modules, Bull. London Math. Soc. 16 (1984), 518-522 | MR 751824 | Zbl 0519.16016
:[38] Rings of Quotients, New York - Heidelberg - Berlin 1975 | MR 389953 | Zbl 0296.16001
:[39] Etude spectrale des algèbres complètes, Acad. R. Belgique, Mém. Cl. des Sc., 1960 | MR 117578 | Zbl 0193.10005
:[40] Les quotients de b-espaces, Bull. Soc. Math. France, Mém. 31-32 (1972), 389-394 | Numdam | MR 377473 | Zbl 0256.46007
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