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Abe, Eiichi

Co-Author Distance
Author ID: abe.eiichi Recent zbMATH articles by "Abe, Eiichi"
Published as: Abe, Eiichi; Abe, E.
Documents Indexed: 24 Publications since 1958, including 1 Book
Reviewing Activity: 126 Reviews
Co-Authors: 6 Co-Authors with 6 Joint Publications
40 Co-Co-Authors
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Co-Authors

18 single-authored
1 Doi, Yukio
1 Hurley, James F.
1 Kanno, Tsuneo
1 Morita, Jun
1 Suzuki, Kazuo
1 Takeuchi, Mitsuhiro
all top 5

Serials

9 Tôhoku Mathematical Journal. Second Series
2 Communications in Algebra
2 Journal of Algebra
2 Journal of the Mathematical Society of Japan
1 Tsukuba Journal of Mathematics
1 St. Petersburg Mathematical Journal
1 Proceedings of the Japan Academy
1 Science Reports of the Tokyo Kyoiku Daigaku, Section A
1 Cambridge Tracts in Mathematics
all top 5

Fields

15 Group theory and generalizations (20-XX)
11 Algebraic geometry (14-XX)
5 Nonassociative rings and algebras (17-XX)
4 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Topological groups, Lie groups (22-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

18 Publications have been cited 571 times in 423 Documents Cited by ▼ Year ▼
Hopf algebras. Zbl 0476.16008
Abe, Eiichi
250
1980
Chevalley groups over local rings. Zbl 0188.07201
Abe, Eiichi
71
1969
On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033
Abe, Eiichi; Suzuki, Kazuo
63
1976
Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039
Abe, Eiichi
33
1993
Chevalley groups over commutative rings. Zbl 0820.20053
Abe, Eiichi
31
1989
Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030
Abe, Eiichi
25
1983
Centers of Chevalley groups over commutative rings. Zbl 0647.20047
Abe, Eiichi; Hurley, James F.
21
1988
Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029
Abe, Eiichi
21
1989
Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021
Abe, E.; Doi, Y.
14
1972
Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036
Abe, Eiichi
14
1977
Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036
Abe, Eiichi; Morita, Jun
7
1988
Finite groups admitting Bruhat decompositions of type \((A_ n)\). Zbl 0128.25203
Abe, E.
5
1964
Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059
Abe, Eiichi
5
1995
Some remarks on algebraic groups. Zbl 0115.02604
Abe, Eiichi; Kanno, Tsuneo
4
1959
A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037
Abe, Eiichi
2
1977
Groupes simples de Chevalley. Zbl 0115.25401
Abe, E.
2
1961
Dualité de Tannaka des groupes algébriques. Zbl 0134.26902
Abe, Eiichi
2
1960
On the groups of C. Chevalley. Zbl 0085.01801
Abe, Eiichi
1
1959
Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059
Abe, Eiichi
5
1995
Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039
Abe, Eiichi
33
1993
Chevalley groups over commutative rings. Zbl 0820.20053
Abe, Eiichi
31
1989
Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029
Abe, Eiichi
21
1989
Centers of Chevalley groups over commutative rings. Zbl 0647.20047
Abe, Eiichi; Hurley, James F.
21
1988
Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036
Abe, Eiichi; Morita, Jun
7
1988
Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030
Abe, Eiichi
25
1983
Hopf algebras. Zbl 0476.16008
Abe, Eiichi
250
1980
Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036
Abe, Eiichi
14
1977
A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037
Abe, Eiichi
2
1977
On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033
Abe, Eiichi; Suzuki, Kazuo
63
1976
Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021
Abe, E.; Doi, Y.
14
1972
Chevalley groups over local rings. Zbl 0188.07201
Abe, Eiichi
71
1969
Finite groups admitting Bruhat decompositions of type \((A_ n)\). Zbl 0128.25203
Abe, E.
5
1964
Groupes simples de Chevalley. Zbl 0115.25401
Abe, E.
2
1961
Dualité de Tannaka des groupes algébriques. Zbl 0134.26902
Abe, Eiichi
2
1960
Some remarks on algebraic groups. Zbl 0115.02604
Abe, Eiichi; Kanno, Tsuneo
4
1959
On the groups of C. Chevalley. Zbl 0085.01801
Abe, Eiichi
1
1959
all cited Publications top 5 cited Publications
all top 5

Cited by 417 Authors

37 Vavilov, Nikolaĭ Aleksandrovich
16 Bunina, Elena Igor’evna
12 Stepanov, Alexeĭ Vladimirovich
10 Abe, Eiichi
9 Vaserstein, Leonid N.
8 Chirvăsitu, Alexandru
8 Hazrat, Roozbeh
8 Radford, David E.
8 Stavrova, Anastasia K.
7 Plotkin, Eugene
6 Jiang, Lining
6 Morita, Jun
6 Prástaro, Agostino
5 Cohen, Miriam
5 Saracco, Paolo
5 Zhang, Zuhong
4 Ardizzoni, Alessandro
4 Bak, Anthony
4 Chen, Yu
4 El Kaoutit, Laiachi
4 Fischman, Davida
4 Gelaki, Shlomo
4 Gómez Torrecillas, José
4 Gvozdevsky, Pavel
4 Montgomery, Susan
4 Noumi, Masatoshi
4 Vercruysse, Joost
3 Agore, Ana-Loredana
3 Ambily, Ambattu Asokan
3 Caenepeel, Stefaan
3 Chin, William
3 Foissy, Loïc
3 Gao, Xing
3 González Rodríguez, Ramón
3 Grunenfelder, Luzius
3 Hayashi, Takahiro
3 Kauffman, Louis Hirsch
3 Kustermans, Johan
3 Luzgarev, A. Yu.
3 Menal, Pere
3 Murphy, Gerard J.
3 Preusser, Raimund
3 Quan, Xiuchi
3 Schlieker, Michael
3 Schürmann, Michael
3 Sinchuk, Sergeĭ Sergeevich
3 Takeuchi, Mitsuhiro
3 Tuset, Lars
3 Umeda, Tôru
3 Van Daele, Alfons
3 Wakayama, Masato
3 Wakui, Michihisa
3 Watamura, Satoshi
3 Wei, Xiaomin
3 Weich, Wolfgang
3 Westreich, Sara
3 Zhao, Wenhua
2 Abuhlail, Jawad Y.
2 Aparna Pradeep, V. K.
2 Ballesteros, Angel
2 Bergen, Jeffrey
2 Böhm, Gabriella
2 Brzeziński, Tomasz
2 Carow-Watamura, Ursula
2 Castaño Iglesias, Florencio
2 Çelik, Salih
2 Dobrev, Vladimir K.
2 Drabant, Bernhard
2 Duchamp, Gerard Henry Edmond
2 Ebrahimi-Fard, Kurusch
2 Etingof, Pavel Il’ich
2 Farnsteiner, Rolf
2 Fernández-Saiz, Eduardo
2 Fernández Vilaboa, José Manuel
2 Fioresi, Rita
2 Floreanini, Roberto
2 Frabetti, Alessandra
2 Gavarini, Fabio
2 Gordienko, Alekseĭ Sergeevich
2 Goyvaerts, Isar
2 Guédénon, Thomas
2 Herranz, Francisco José
2 Hurley, James F.
2 Kabiraj, Arpan
2 Kanno, Tsuneo
2 Košir, Tomaž
2 Kucerovsky, Dan Z.
2 Lavrenov, Andrei V.
2 Li, Fang
2 Manchon, Dominique
2 Musson, Ian M.
2 Nuzhin, Yakov Nifant’evich
2 Phan, Kok-Wee
2 Rao, Ravi A.
2 Reshetikhin, Nikolai Yu.
2 Reutenauer, Christophe
2 Sinel’shchikov, Sergey D.
2 Suzuki, Kazuo
2 Thibon, Jean-Yves
2 Toppan, Francesco
...and 317 more Authors
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Cited in 126 Serials

65 Journal of Algebra
28 Journal of Mathematical Sciences (New York)
27 Journal of Pure and Applied Algebra
16 Communications in Mathematical Physics
16 St. Petersburg Mathematical Journal
15 Proceedings of the American Mathematical Society
14 Communications in Algebra
12 Tôhoku Mathematical Journal. Second Series
9 Advances in Mathematics
8 Journal of Soviet Mathematics
7 Transactions of the American Mathematical Society
6 Israel Journal of Mathematics
6 Letters in Mathematical Physics
5 International Journal of Theoretical Physics
5 Compositio Mathematica
5 Mathematische Zeitschrift
5 Journal of Algebraic Combinatorics
4 Journal of Geometry and Physics
4 Duke Mathematical Journal
4 Nonlinear Analysis. Real World Applications
4 Journal of Algebra and its Applications
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Rendiconti del Seminario Matematico della Università di Padova
3 Acta Applicandae Mathematicae
3 Linear Algebra and its Applications
3 Algebras and Representation Theory
3 Journal of Physics A: Mathematical and Theoretical
3 Journal of \(K\)-Theory
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. B
2 Reports on Mathematical Physics
2 Algebra and Logic
2 Journal of Combinatorial Theory. Series A
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Quaestiones Mathematicae
2 Probability Theory and Related Fields
2 Science in China. Series A
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Nuclear Physics. B. Proceedings Supplements
2 Annales Mathématiques Blaise Pascal
2 Advances in Applied Clifford Algebras
2 Documenta Mathematica
2 Journal of Group Theory
2 Acta Mathematica Sinica. English Series
2 Journal of High Energy Physics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Noncommutative Geometry
2 European Journal of Mathematics
1 Discrete Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Journal of Geometry
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Annals of Pure and Applied Logic
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 International Journal of Mathematics
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Vestnik St. Petersburg University. Mathematics
1 Applied Categorical Structures
1 Algebra Colloquium
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 Filomat
1 The Electronic Journal of Combinatorics
1 Sbornik: Mathematics
1 Positivity
...and 26 more Serials
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Cited in 42 Fields

184 Associative rings and algebras (16-XX)
159 Group theory and generalizations (20-XX)
118 Nonassociative rings and algebras (17-XX)
53 Quantum theory (81-XX)
41 Category theory; homological algebra (18-XX)
39 Algebraic geometry (14-XX)
38 Functional analysis (46-XX)
34 \(K\)-theory (19-XX)
30 Combinatorics (05-XX)
19 Topological groups, Lie groups (22-XX)
19 Manifolds and cell complexes (57-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Commutative algebra (13-XX)
10 Number theory (11-XX)
9 Special functions (33-XX)
7 Mathematical logic and foundations (03-XX)
7 Ordinary differential equations (34-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Probability theory and stochastic processes (60-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
4 Field theory and polynomials (12-XX)
4 Operator theory (47-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Partial differential equations (35-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Approximations and expansions (41-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year