Edit Profile (opens in new tab) Abe, Eiichi Co-Author Distance Author ID: 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 all top 5 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 582 times in 433 Documents Cited by ▼ Year ▼ Hopf algebras. Zbl 0476.16008 Abe, Eiichi 254 1980 Chevalley groups over local rings. Zbl 0188.07201 Abe, Eiichi 73 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 30 1993 Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030 Abe, Eiichi 26 1983 Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029 Abe, Eiichi 23 1989 Chevalley groups over commutative rings. Zbl 0820.20053 Abe, Eiichi 22 1989 Centers of Chevalley groups over commutative rings. Zbl 0647.20047 Abe, Eiichi; Hurley, James F. 22 1988 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 Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059 Abe, Eiichi 5 1995 Finite groups admitting Bruhat decompositions of type \((A_ n)\). Zbl 0128.25203 Abe, E. 5 1964 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 Dualité de Tannaka des groupes algébriques. Zbl 0134.26902 Abe, Eiichi 2 1960 Groupes simples de Chevalley. Zbl 0115.25401 Abe, E. 2 1961 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 30 1993 Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029 Abe, Eiichi 23 1989 Chevalley groups over commutative rings. Zbl 0820.20053 Abe, Eiichi 22 1989 Centers of Chevalley groups over commutative rings. Zbl 0647.20047 Abe, Eiichi; Hurley, James F. 22 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 26 1983 Hopf algebras. Zbl 0476.16008 Abe, Eiichi 254 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 73 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 422 Authors 38 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 Gvozdevsky, Pavel 5 Petrov, Viktor 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 Montgomery, Susan 4 Noumi, Masatoshi 4 Sinchuk, Sergeĭ Sergeevich 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 Lavrenov, Andrei V. 3 Luzgarev, A. Yu. 3 Menal, Pere 3 Murphy, Gerard J. 3 Preusser, Raimund 3 Quan, Xiuchi 3 Schlieker, Michael 3 Schürmann, Michael 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 Coulembier, Kevin 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 Iusenko, Kostiantyn 2 Kabiraj, Arpan 2 Kanno, Tsuneo 2 Košir, Tomaž 2 Kucerovsky, Dan Z. 2 Li, Fang 2 Linares, Pablo 2 MacQuarrie, John William 2 Manchon, Dominique 2 Musson, Ian M. 2 Nuzhin, Yakov Nifant’evich 2 Phan, Kok-Wee 2 Rao, Ravi A. 2 Reshetikhin, Nikolai Yu. ...and 322 more Authors all top 5 Cited in 128 Serials 66 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 Israel Journal of Mathematics 7 Transactions of the American Mathematical Society 6 Letters in Mathematical Physics 5 International Journal of Theoretical Physics 5 Compositio Mathematica 5 Mathematische Zeitschrift 5 Journal of Algebraic Combinatorics 5 Journal of Algebra and its Applications 4 Journal of Geometry and Physics 4 Duke Mathematical Journal 4 Nonlinear Analysis. Real World Applications 4 European Journal of Mathematics 3 Algebra and Logic 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 High Energy Physics 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 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 Vestnik St. Petersburg University. Mathematics 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 Acta Mathematica Scientia. Series B. (English Edition) 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Noncommutative Geometry 1 Archive for Rational Mechanics and Analysis 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 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 ...and 28 more Serials all top 5 Cited in 43 Fields 186 Associative rings and algebras (16-XX) 166 Group theory and generalizations (20-XX) 119 Nonassociative rings and algebras (17-XX) 54 Quantum theory (81-XX) 43 Category theory; homological algebra (18-XX) 40 Algebraic geometry (14-XX) 38 Functional analysis (46-XX) 35 \(K\)-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) 12 Number theory (11-XX) 11 Commutative algebra (13-XX) 9 Special functions (33-XX) 8 Probability theory and stochastic processes (60-XX) 7 Mathematical logic and foundations (03-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Field theory and polynomials (12-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-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 History and biography (01-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