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Gabriel, Pierre

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Author ID: gabriel.pierre Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 3,140 times in 2,680 Documents Cited by Year
Des catégories abéliennes. Zbl 0201.35602
Gabriel, P.
493
1962
Calculus of fractions and homotopy theory. Zbl 0186.56802
Gabriel, P.; Zisman, M.
463
1967
Algebraic groups. Volume I: Algebraic geometry. Generalities. Commutative groups. With an appendix ‘Local class fields’ by Michiel Hazewinkel. Zbl 0203.23401
Demazure, Michel; Gabriel, Pierre
349
1970
Unzerlegbare Darstellungen. I. (Indecomposable representations. I). Zbl 0232.08001
Gabriel, Peter
301
1972
Covering spaces in representation-theory. Zbl 0482.16026
Bongartz, K.; Gabriel, P.
290
1982
Lokal präsentierbare Kategorien. (Locally presentable categories). Zbl 0225.18004
Gabriel, Peter; Ulmer, Friedrich
226
1971
Auslander-Reiten sequences and representation-finite algebras. Zbl 0445.16023
Gabriel, Peter
132
1980
Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume). Zbl 0293.17005
Borho, Walter; Gabriel, Peter; Rentschler, Rudolf
115
1973
Representation-finite algebras and multiplicative bases. Zbl 0575.16012
Bautista, R.; Gabriel, P.; Rojter, A. V.; Salmerón, L.
87
1985
Sur la dimension des anneaux et ensembles ordonnes. Zbl 0155.36201
Rentschler, R.; Gabriel, P.
72
1967
Ideaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0159.04101
Nouaze, Y.; Gabriel, P.
71
1967
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Kostrikin, 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 0481.16008
Gabriel, P.
66
1981
Caractérisation des categories abeliennes avec générateurs et limites inductives exactes. Zbl 0126.03304
Popesco, N.; Gabriel, P.
55
1964
Group representations without groups. Zbl 0447.16023
Gabriel, P.; Riedtmann, Ch.
47
1979
Introduction to algebraic geometry and algebraic groups. Zbl 0431.14015
Demazure, Michel; Gabriel, Peter
45
1980
The standard form of a representation-finite algebra. Zbl 0527.16021
Bretscher, O.; Gabriel, P.
44
1983
Finite representation type is open. Zbl 0313.16034
Gabriel, Peter
36
1975
Indecomposable representations. II. Zbl 0276.16001
Gabriel, Peter
33
1973
Appendix: Degenerate bilinear forms. Zbl 0282.15014
Gabriel, Peter
32
1974
Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn. Zbl 0136.25602
Gabriel, P.; Oberst, U.
26
1966
Tame and wild subspace problems. Zbl 0869.16010
Gabriel, P.; Nazarova, L. A.; Rojter, A. V.; Sergejchuk, V. V.; Vossieck, D.
23
1993
Quotients of representation-finite algebras. Zbl 0609.16013
Gabriel, P.; de la Peña, J. A.
23
1987
Représentations indecomposables. Zbl 0335.17005
Gabriel, Pierre
10
1975
Calculus of fractions and homotopy theory. (Kategorii chastnykh i teoriya gomotopij.) Übersetzung aus dem Englischen von M. M. Postnikov. Zbl 0231.55001
Gabriel, P.; Zisman, M.
8
1971
Objects injectifs dans les catégories abéliennes. Zbl 0214.03301
Gabriel, P.
5
1960
Représentations indecomposables des ensembles ordonnes (d’apres Nazarova et Roiter.). Zbl 0329.16019
Gabriel, Pierre
4
1973
Représentations indécomposables: Un algorithme. (Indecomposable representations: An algorithm). Zbl 0662.16019
Nazarova, Lioudmila A.; Roiter, Andrei V.; Gabriel, Pierre
3
1988
Problèmes actuels de théorie des représentations. Zbl 0302.16028
Gabriel, Pierre
3
1974
Universelle Eigenschaften der Wittschen Vektoren und der Einseinheitenalgebra einer Potenzreihenalgebra in einer Veränderlichen. Zbl 0214.48203
Gabriel, P.
2
1970
On algebras, wild and tame. Zbl 0820.16016
de la Peña, José; Gabriel, Peter
1
1994
Darstellungen endlichdimensionaler Algebren. (Representations of finite dimensional algebras). Zbl 0665.16020
Gabriel, 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 0577.00006
Dlab, V. (ed.); Gabriel, P. (ed.); Michler, G. (ed.)
1
1986
Algèbres auto-injectives de représentation finie (d’apres Christine Riedtmann). Zbl 0486.16017
Gabriel, Pierre
1
1981
Representations of algebras. Proceedings of the international conference, Ottawa 1974. Zbl 0304.00002
Dlab, V. (ed.); Gabriel, P. (ed.)
1
1975
La localisation dans les anneaux non commutatifs. Zbl 0118.02003
Gabriel, Pierre
1
1961
On algebras, wild and tame. Zbl 0820.16016
de la Peña, José; Gabriel, Peter
1
1994
Tame and wild subspace problems. Zbl 0869.16010
Gabriel, 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 0839.16001
Kostrikin, 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 0662.16019
Nazarova, Lioudmila A.; Roiter, Andrei V.; Gabriel, Pierre
3
1988
Quotients of representation-finite algebras. Zbl 0609.16013
Gabriel, P.; de la Peña, J. A.
23
1987
Darstellungen endlichdimensionaler Algebren. (Representations of finite dimensional algebras). Zbl 0665.16020
Gabriel, 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 0577.00006
Dlab, V. (ed.); Gabriel, P. (ed.); Michler, G. (ed.)
1
1986
Representation-finite algebras and multiplicative bases. Zbl 0575.16012
Bautista, R.; Gabriel, P.; Rojter, A. V.; Salmerón, L.
87
1985
The standard form of a representation-finite algebra. Zbl 0527.16021
Bretscher, O.; Gabriel, P.
44
1983
Covering spaces in representation-theory. Zbl 0482.16026
Bongartz, K.; Gabriel, P.
290
1982
The universal cover of a representation-finite algebra. Zbl 0481.16008
Gabriel, P.
66
1981
Algèbres auto-injectives de représentation finie (d’apres Christine Riedtmann). Zbl 0486.16017
Gabriel, Pierre
1
1981
Auslander-Reiten sequences and representation-finite algebras. Zbl 0445.16023
Gabriel, Peter
132
1980
Introduction to algebraic geometry and algebraic groups. Zbl 0431.14015
Demazure, Michel; Gabriel, Peter
45
1980
Group representations without groups. Zbl 0447.16023
Gabriel, P.; Riedtmann, Ch.
47
1979
Finite representation type is open. Zbl 0313.16034
Gabriel, Peter
36
1975
Représentations indecomposables. Zbl 0335.17005
Gabriel, Pierre
10
1975
Representations of algebras. Proceedings of the international conference, Ottawa 1974. Zbl 0304.00002
Dlab, V. (ed.); Gabriel, P. (ed.)
1
1975
Appendix: Degenerate bilinear forms. Zbl 0282.15014
Gabriel, Peter
32
1974
Problèmes actuels de théorie des représentations. Zbl 0302.16028
Gabriel, Pierre
3
1974
Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume). Zbl 0293.17005
Borho, Walter; Gabriel, Peter; Rentschler, Rudolf
115
1973
Indecomposable representations. II. Zbl 0276.16001
Gabriel, Peter
33
1973
Représentations indecomposables des ensembles ordonnes (d’apres Nazarova et Roiter.). Zbl 0329.16019
Gabriel, Pierre
4
1973
Unzerlegbare Darstellungen. I. (Indecomposable representations. I). Zbl 0232.08001
Gabriel, Peter
301
1972
Lokal präsentierbare Kategorien. (Locally presentable categories). Zbl 0225.18004
Gabriel, 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 0231.55001
Gabriel, P.; Zisman, M.
8
1971
Algebraic groups. Volume I: Algebraic geometry. Generalities. Commutative groups. With an appendix ‘Local class fields’ by Michiel Hazewinkel. Zbl 0203.23401
Demazure, Michel; Gabriel, Pierre
349
1970
Universelle Eigenschaften der Wittschen Vektoren und der Einseinheitenalgebra einer Potenzreihenalgebra in einer Veränderlichen. Zbl 0214.48203
Gabriel, P.
2
1970
Calculus of fractions and homotopy theory. Zbl 0186.56802
Gabriel, P.; Zisman, M.
463
1967
Sur la dimension des anneaux et ensembles ordonnes. Zbl 0155.36201
Rentschler, R.; Gabriel, P.
72
1967
Ideaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente. Zbl 0159.04101
Nouaze, Y.; Gabriel, P.
71
1967
Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn. Zbl 0136.25602
Gabriel, P.; Oberst, U.
26
1966
Caractérisation des categories abeliennes avec générateurs et limites inductives exactes. Zbl 0126.03304
Popesco, N.; Gabriel, P.
55
1964
Des catégories abéliennes. Zbl 0201.35602
Gabriel, P.
493
1962
La localisation dans les anneaux non commutatifs. Zbl 0118.02003
Gabriel, Pierre
1
1961
Objects injectifs dans les catégories abéliennes. Zbl 0214.03301
Gabriel, P.
5
1960
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

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