Edit Profile Gabriel, Pierre Compute Distance To: Compute Author ID: gabriel.pierre Published as: Gabriel, P.; Gabriel, Peter; Gabriel, Pierre Homepage: http://www.pierre-peter-gabriel-mathematics.ch/ External Links: MGP · Wikidata · GND Documents Indexed: 48 Publications since 1960, including 13 Books all top 5 Co-Authors 24 single-authored 6 Roiter, Andrei V. 3 Dlab, Vlastimil H. 3 Nazarova, Liudmila A. 2 de la Peña, José Antonio 2 Demazure, Michel 2 Gamkrelidze, Revaz Valerianovich 2 Kostrikin, Alekseĭ Ivanovich 2 Michler, Gerhard O. 2 Rentschler, Rudolf 2 Shafarevich, Igor’ Rostislavovich 2 Vossieck, Dieter 2 Zisman, Michel 1 Bautista, Raymundo 1 Bongartz, Klaus 1 Borho, Walter 1 Bretscher, Otto 1 Nouaze, Yvon 1 Oberst, Ulrich 1 Popesco, N. 1 Riedtmann, Christine 1 Salmeron, Leonardo 1 Sergeĭchuk, Volodymyr Vasyl’ovych 1 Ulmer, Friedrich all top 5 Serials 5 Lecture Notes in Mathematics 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Journal of Algebra 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Ukrainian Mathematical Journal 1 Commentarii Mathematici Helvetici 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Encyclopaedia of Mathematical Sciences 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 North-Holland Mathematics Studies 1 Nouvelle Bibliothèque Mathématique all top 5 Fields 28 Associative rings and algebras (16-XX) 12 Category theory; homological algebra (18-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Algebraic geometry (14-XX) 6 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Algebraic topology (55-XX) 2 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 3,140 times in 2,680 Documents Cited by ▼ Year ▼ Des catégories abéliennes. Zbl 0201.35602Gabriel, P. 493 1962 Calculus of fractions and homotopy theory. Zbl 0186.56802Gabriel, P.; Zisman, M. 463 1967 Algebraic groups. Volume I: Algebraic geometry. Generalities. Commutative groups. With an appendix ‘Local class fields’ by Michiel Hazewinkel. Zbl 0203.23401Demazure, Michel; Gabriel, Pierre 349 1970 Unzerlegbare Darstellungen. I. (Indecomposable representations. I). Zbl 0232.08001Gabriel, Peter 301 1972 Covering spaces in representation-theory. Zbl 0482.16026Bongartz, K.; Gabriel, P. 290 1982 Lokal präsentierbare Kategorien. (Locally presentable categories). Zbl 0225.18004Gabriel, Peter; Ulmer, Friedrich 226 1971 Auslander-Reiten sequences and representation-finite algebras. Zbl 0445.16023Gabriel, Peter 132 1980 Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume). Zbl 0293.17005Borho, Walter; Gabriel, Peter; Rentschler, Rudolf 115 1973 Representation-finite algebras and multiplicative bases. Zbl 0575.16012Bautista, R.; Gabriel, P.; Rojter, A. V.; Salmerón, L. 87 1985 Sur la dimension des anneaux et ensembles ordonnes. Zbl 0155.36201Rentschler, R.; Gabriel, P. 72 1967 Ideaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0159.04101Nouaze, Y.; Gabriel, P. 71 1967 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V. 70 1992 The universal cover of a representation-finite algebra. Zbl 0481.16008Gabriel, P. 66 1981 Caractérisation des categories abeliennes avec générateurs et limites inductives exactes. Zbl 0126.03304Popesco, N.; Gabriel, P. 55 1964 Group representations without groups. Zbl 0447.16023Gabriel, P.; Riedtmann, Ch. 47 1979 Introduction to algebraic geometry and algebraic groups. Zbl 0431.14015Demazure, Michel; Gabriel, Peter 45 1980 The standard form of a representation-finite algebra. Zbl 0527.16021Bretscher, O.; Gabriel, P. 44 1983 Finite representation type is open. Zbl 0313.16034Gabriel, Peter 36 1975 Indecomposable representations. II. Zbl 0276.16001Gabriel, Peter 33 1973 Appendix: Degenerate bilinear forms. Zbl 0282.15014Gabriel, Peter 32 1974 Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn. Zbl 0136.25602Gabriel, P.; Oberst, U. 26 1966 Tame and wild subspace problems. Zbl 0869.16010Gabriel, P.; Nazarova, L. A.; Rojter, A. V.; Sergejchuk, V. V.; Vossieck, D. 23 1993 Quotients of representation-finite algebras. Zbl 0609.16013Gabriel, P.; de la Peña, J. A. 23 1987 Représentations indecomposables. Zbl 0335.17005Gabriel, Pierre 10 1975 Calculus of fractions and homotopy theory. (Kategorii chastnykh i teoriya gomotopij.) Übersetzung aus dem Englischen von M. M. Postnikov. Zbl 0231.55001Gabriel, P.; Zisman, M. 8 1971 Objects injectifs dans les catégories abéliennes. Zbl 0214.03301Gabriel, P. 5 1960 Représentations indecomposables des ensembles ordonnes (d’apres Nazarova et Roiter.). Zbl 0329.16019Gabriel, Pierre 4 1973 Représentations indécomposables: Un algorithme. (Indecomposable representations: An algorithm). Zbl 0662.16019Nazarova, Lioudmila A.; Roiter, Andrei V.; Gabriel, Pierre 3 1988 Problèmes actuels de théorie des représentations. Zbl 0302.16028Gabriel, Pierre 3 1974 Universelle Eigenschaften der Wittschen Vektoren und der Einseinheitenalgebra einer Potenzreihenalgebra in einer Veränderlichen. Zbl 0214.48203Gabriel, P. 2 1970 On algebras, wild and tame. Zbl 0820.16016de la Peña, José; Gabriel, Peter 1 1994 Darstellungen endlichdimensionaler Algebren. (Representations of finite dimensional algebras). Zbl 0665.16020Gabriel, Peter 1 1987 Representation theory. I: Finite dimensional algebras. Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984. Zbl 0577.00006Dlab, V. (ed.); Gabriel, P. (ed.); Michler, G. (ed.) 1 1986 Algèbres auto-injectives de représentation finie (d’apres Christine Riedtmann). Zbl 0486.16017Gabriel, Pierre 1 1981 Representations of algebras. Proceedings of the international conference, Ottawa 1974. Zbl 0304.00002Dlab, V. (ed.); Gabriel, P. (ed.) 1 1975 La localisation dans les anneaux non commutatifs. Zbl 0118.02003Gabriel, Pierre 1 1961 On algebras, wild and tame. Zbl 0820.16016de la Peña, José; Gabriel, Peter 1 1994 Tame and wild subspace problems. Zbl 0869.16010Gabriel, P.; Nazarova, L. A.; Rojter, A. V.; Sergejchuk, V. V.; Vossieck, D. 23 1993 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V. 70 1992 Représentations indécomposables: Un algorithme. (Indecomposable representations: An algorithm). Zbl 0662.16019Nazarova, Lioudmila A.; Roiter, Andrei V.; Gabriel, Pierre 3 1988 Quotients of representation-finite algebras. Zbl 0609.16013Gabriel, P.; de la Peña, J. A. 23 1987 Darstellungen endlichdimensionaler Algebren. (Representations of finite dimensional algebras). Zbl 0665.16020Gabriel, Peter 1 1987 Representation theory. I: Finite dimensional algebras. Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984. Zbl 0577.00006Dlab, V. (ed.); Gabriel, P. (ed.); Michler, G. (ed.) 1 1986 Representation-finite algebras and multiplicative bases. Zbl 0575.16012Bautista, R.; Gabriel, P.; Rojter, A. V.; Salmerón, L. 87 1985 The standard form of a representation-finite algebra. Zbl 0527.16021Bretscher, O.; Gabriel, P. 44 1983 Covering spaces in representation-theory. Zbl 0482.16026Bongartz, K.; Gabriel, P. 290 1982 The universal cover of a representation-finite algebra. Zbl 0481.16008Gabriel, P. 66 1981 Algèbres auto-injectives de représentation finie (d’apres Christine Riedtmann). Zbl 0486.16017Gabriel, Pierre 1 1981 Auslander-Reiten sequences and representation-finite algebras. Zbl 0445.16023Gabriel, Peter 132 1980 Introduction to algebraic geometry and algebraic groups. Zbl 0431.14015Demazure, Michel; Gabriel, Peter 45 1980 Group representations without groups. Zbl 0447.16023Gabriel, P.; Riedtmann, Ch. 47 1979 Finite representation type is open. Zbl 0313.16034Gabriel, Peter 36 1975 Représentations indecomposables. Zbl 0335.17005Gabriel, Pierre 10 1975 Representations of algebras. Proceedings of the international conference, Ottawa 1974. Zbl 0304.00002Dlab, V. (ed.); Gabriel, P. (ed.) 1 1975 Appendix: Degenerate bilinear forms. Zbl 0282.15014Gabriel, Peter 32 1974 Problèmes actuels de théorie des représentations. Zbl 0302.16028Gabriel, Pierre 3 1974 Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume). Zbl 0293.17005Borho, Walter; Gabriel, Peter; Rentschler, Rudolf 115 1973 Indecomposable representations. II. Zbl 0276.16001Gabriel, Peter 33 1973 Représentations indecomposables des ensembles ordonnes (d’apres Nazarova et Roiter.). Zbl 0329.16019Gabriel, Pierre 4 1973 Unzerlegbare Darstellungen. I. (Indecomposable representations. I). Zbl 0232.08001Gabriel, Peter 301 1972 Lokal präsentierbare Kategorien. (Locally presentable categories). Zbl 0225.18004Gabriel, Peter; Ulmer, Friedrich 226 1971 Calculus of fractions and homotopy theory. (Kategorii chastnykh i teoriya gomotopij.) Übersetzung aus dem Englischen von M. M. Postnikov. Zbl 0231.55001Gabriel, P.; Zisman, M. 8 1971 Algebraic groups. Volume I: Algebraic geometry. Generalities. Commutative groups. With an appendix ‘Local class fields’ by Michiel Hazewinkel. Zbl 0203.23401Demazure, Michel; Gabriel, Pierre 349 1970 Universelle Eigenschaften der Wittschen Vektoren und der Einseinheitenalgebra einer Potenzreihenalgebra in einer Veränderlichen. Zbl 0214.48203Gabriel, P. 2 1970 Calculus of fractions and homotopy theory. Zbl 0186.56802Gabriel, P.; Zisman, M. 463 1967 Sur la dimension des anneaux et ensembles ordonnes. Zbl 0155.36201Rentschler, R.; Gabriel, P. 72 1967 Ideaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0159.04101Nouaze, Y.; Gabriel, P. 71 1967 Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn. Zbl 0136.25602Gabriel, P.; Oberst, U. 26 1966 Caractérisation des categories abeliennes avec générateurs et limites inductives exactes. Zbl 0126.03304Popesco, N.; Gabriel, P. 55 1964 Des catégories abéliennes. Zbl 0201.35602Gabriel, P. 493 1962 La localisation dans les anneaux non commutatifs. Zbl 0118.02003Gabriel, Pierre 1 1961 Objects injectifs dans les catégories abéliennes. Zbl 0214.03301Gabriel, P. 5 1960 all cited Publications top 5 cited Publications all top 5 Cited by 2,093 Authors 49 Skowroński, Andrzej 35 Assem, Ibrahim 30 Adámek, Jiří 30 de la Peña, José Antonio 30 Nastasescu, Constantin 26 Krause, Henning 25 Simson, Daniel 23 Ringel, Claus Michael 21 Rosický, Jiří 19 Sergeichuk, Vladimir Vasil’evich 19 Tholen, Walter 17 Rump, Wolfgang 16 Facchini, Alberto 16 Green, Edward Lee 16 Reiten, Idun 15 Borceux, Francis 15 Deng, Bangming 15 Saorín, Manuel 14 Moerdijk, Ieke 14 Trepode, Sonia Elisabet 13 Cibils, Claude 13 Geiss, Christof 13 Velebil, Jiří 12 Joseph, Anthony 12 Kelly, Gregory Maxwell 12 Milius, Stefan 12 Riedtmann, Christine 12 Van den Bergh, Michel 12 Vitale, Enrico Maria 11 Brüstle, Thomas 11 Erdmann, Karin 11 Farnsteiner, Rolf 11 Garner, Richard 11 Husainov, Ahmet A. 11 Keller, Bernhard 11 Schneider, Hans-Jürgen 11 Šťovíček, Jan 10 Borho, Walter 10 Dowbor, Piotr 10 Futorny, Vyacheslav M. 10 Lack, Stephen 10 Porter, Timothy 10 Redondo, María Julia 10 Street, Ross H. 10 Verschoren, Alain H. M. J. 9 Angeleri Hügel, Lidia 9 Asashiba, Hideto 9 Bongartz, Klaus 9 Chaio, Claudia 9 Chin, William 9 Dräxler, Peter 9 Iyama, Osamu 9 Kasjan, Stanisław 9 Le Meur, Patrick 9 Lenzing, Helmut 9 Lorenz, Martin 9 Martinez-Villa, Roberto 9 Oberst, Ulrich 9 Ooms, Alfons I. 9 Parshall, Brian J. 9 Pogorzały, Zygmunt 9 Schiffler, Ralf 9 Smith, S. Paul 9 Wischnewsky, Manfred Bernd 9 Zubkov, Alexandr N. 8 Bautista, Raymundo 8 Bazzoni, Silvana 8 Berger, Clemens 8 Castonguay, Diane 8 Coelho, Flávio Ulhoa 8 Drozd, Yuriĭ Anatoliĭovych 8 Friedlander, Eric Mark 8 Gabriel, Pierre 8 Liu, Shiping 8 Malicki, Piotr 8 Meltzer, Hagen 8 Pianzola, Arturo 8 Schröer, Jan 8 Stafford, J. Toby 8 Takeuchi, Mitsuhiro 8 van Oystaeyen, Freddy 8 Wiedemann, Alfred 8 Wolff, Harvey 8 Zhang, Pu 7 Bleher, Frauke M. 7 Bobiński, Grzegorz 7 Brion, Michel 7 Bustamante, Juan Carlos 7 Cegarra, Antonio Martínez 7 Han, Yang 7 Jacqmin, Pierre-Alain 7 Latch, Dana May 7 Makkai, Michael 7 Marcos, Eduardo N. 7 Masuoka, Akira 7 Nazarova, Liudmila A. 7 Nguyễn Quôc Thăng 7 Porst, Hans-Eberhard 7 Sousa, Lurdes 6 Bondarenko, Vitalij M. ...and 1,993 more Authors all top 5 Cited in 215 Serials 526 Journal of Algebra 338 Journal of Pure and Applied Algebra 136 Advances in Mathematics 129 Communications in Algebra 107 Transactions of the American Mathematical Society 78 Mathematische Zeitschrift 73 Cahiers de Topologie et Géométrie Différentielle Catégoriques 54 Applied Categorical Structures 52 Proceedings of the American Mathematical Society 51 Linear Algebra and its Applications 51 Algebras and Representation Theory 39 Archiv der Mathematik 36 Inventiones Mathematicae 35 Mathematische Annalen 34 Compositio Mathematica 32 Manuscripta Mathematica 27 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 25 Bulletin de la Société Mathématique de France 24 Israel Journal of Mathematics 23 Annales de l’Institut Fourier 21 Algebraic & Geometric Topology 21 Journal of Algebra and its Applications 17 Topology and its Applications 17 Journal of the American Mathematical Society 16 Functional Analysis and its Applications 15 Glasgow Mathematical Journal 15 Publications Mathématiques 15 Transformation Groups 14 Bulletin of the Australian Mathematical Society 14 Siberian Mathematical Journal 14 Journal of Mathematical Sciences (New York) 13 Duke Mathematical Journal 11 Journal of Soviet Mathematics 10 Ukrainian Mathematical Journal 10 Bulletin des Sciences Mathématiques 10 Representation Theory 10 Bulletin of the American Mathematical Society 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Theoretical Computer Science 9 MSCS. Mathematical Structures in Computer Science 9 Selecta Mathematica. New Series 9 Acta Mathematica Sinica. English Series 8 Journal für die Reine und Angewandte Mathematik 8 Journal of Algebraic Geometry 8 Theory and Applications of Categories 8 Documenta Mathematica 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Central European Journal of Mathematics 8 Journal of Homotopy and Related Structures 7 Journal of Geometry and Physics 7 Journal of Number Theory 7 Semigroup Forum 7 Annals of Pure and Applied Logic 7 Science in China. Series A 7 Journal of Algebraic Combinatorics 7 Journal de Théorie des Nombres de Bordeaux 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Science China. Mathematics 6 Mathematical Notes 6 Memoirs of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Rendiconti del Seminario Matematico della Università di Padova 6 Indagationes Mathematicae. New Series 6 Algebra Colloquium 6 Journal of Noncommutative Geometry 6 Journal of Applied and Computational Topology 5 Discrete Mathematics 5 Algebra and Logic 5 Journal of Functional Analysis 5 \(K\)-Theory 5 Bulletin of the American Mathematical Society. New Series 5 Acta Mathematica Sinica. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Bulletin de la Société Mathématique de France. Supplément. Mémoires 5 Frontiers of Mathematics in China 4 Communications in Mathematical Physics 4 International Journal of Theoretical Physics 4 Journal of Mathematical Physics 4 Linear and Multilinear Algebra 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Algebra Universalis 4 Czechoslovak Mathematical Journal 4 Geometriae Dedicata 4 International Journal of Mathematics and Mathematical Sciences 4 Nagoya Mathematical Journal 4 Quaestiones Mathematicae 4 Tohoku Mathematical Journal. Second Series 4 Discrete & Computational Geometry 4 Forum Mathematicum 4 Annals of Mathematics. Second Series 4 Journal of the Australian Mathematical Society 4 Journal of \(K\)-Theory 4 São Paulo Journal of Mathematical Sciences 4 Forum of Mathematics, Sigma 4 European Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Beiträge zur Algebra und Geometrie 3 Mathematische Nachrichten 3 Michigan Mathematical Journal 3 Proceedings of the Japan Academy. Series A ...and 115 more Serials all top 5 Cited in 48 Fields 1,311 Associative rings and algebras (16-XX) 915 Category theory; homological algebra (18-XX) 480 Algebraic geometry (14-XX) 348 Group theory and generalizations (20-XX) 323 Nonassociative rings and algebras (17-XX) 286 Algebraic topology (55-XX) 207 Commutative algebra (13-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 93 Number theory (11-XX) 84 Order, lattices, ordered algebraic structures (06-XX) 76 Combinatorics (05-XX) 72 Topological groups, Lie groups (22-XX) 71 Mathematical logic and foundations (03-XX) 64 \(K\)-theory (19-XX) 63 Manifolds and cell complexes (57-XX) 51 Computer science (68-XX) 38 General topology (54-XX) 32 General algebraic systems (08-XX) 32 Field theory and polynomials (12-XX) 32 Functional analysis (46-XX) 27 Quantum theory (81-XX) 23 Several complex variables and analytic spaces (32-XX) 23 Global analysis, analysis on manifolds (58-XX) 19 Operator theory (47-XX) 17 Differential geometry (53-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 6 Ordinary differential equations (34-XX) 6 Abstract harmonic analysis (43-XX) 6 Geometry (51-XX) 5 Partial differential equations (35-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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