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Sagle, Arthur A.

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Author ID: sagle.arthur-a Recent zbMATH articles by "Sagle, Arthur A."
Published as: Sagle, A.; Sagle, A. A.; Sagle, Arthur A.
Documents Indexed: 49 Publications since 1957, including 2 Books

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 330 times in 247 Documents Cited by Year
Malcev algebras. Zbl 0101.02302
Sagle, Arthur A.
93
1961
Introduction to Lie groups and Lie algebras. Zbl 0252.22001
Sagle, Arthur A.; Walde, Ralph E.
69
1973
Simple Malcev algebras over fields of characteristic zero. Zbl 0136.02103
Sagle, Arthur A.
21
1962
Quadratic dynamical systems and algebras. Zbl 0830.17001
Kinyon, Michael K.; Sagle, Arthur A.
18
1995
On simple extended Lie algebras over fields of characteristic zero. Zbl 0134.26904
Sagle, Arthur A.
17
1965
Some homogeneous Einstein manifolds. Zbl 0198.54801
Sagle, A. A.
14
1970
A note on simple anti-commutative algebras obtained from reductive homogeneous spaces. Zbl 0155.07101
Sagle, A. A.
10
1968
On anti-commutative algebras and general Lie triple systems. Zbl 0142.27502
Sagle, A. A.
10
1965
A note on triple systems and totally geodesic submanifold in a homogeneous space. Zbl 0159.51601
Sagle, A. A.
8
1968
On homogeneous spaces and reductive subalgebras of simple Lie algebras. Zbl 0153.04502
Sagle, A.; Winter, D. J.
8
1967
Differential systems and algebras. Zbl 0797.34003
Kinyon, Michael K.; Sagle, Arthur A.
5
1994
Analytic H-spaces, Campbell-Hausdorff formula, and alternative algebras. Zbl 0412.17014
Holmes, J. P.; Sagle, A. A.
5
1980
On homogeneous spaces, holonomy, and non-associative algebras. Zbl 0159.51503
Sagle, A. A.
5
1968
On the construction of reductive Lie-admissible algebras. Zbl 0649.17016
Myung, Hyo Chul; Sagle, Arthur A.
4
1988
Invariant Lagrangian mechanics, connections, and nonassociative algebras. Zbl 0609.17001
Sagle, Arthur A.
4
1986
On simple algebras obtained from homogeneous general Lie triple systems. Zbl 0241.17007
Sagle, Arthur A.
4
1965
On anti-commutative algebras with an invariant form. Zbl 0136.02003
Sagle, Arthur A.
4
1964
On derivations of semi-simple Malcev algebras. Zbl 0105.02502
Sagle, Arthur A.
4
1962
Automorphisms and derivations of differential equations and algebras. Zbl 0809.34015
Kinyon, Michael K.; Sagle, Arthur A.
3
1994
Nonassociative algebras and invariant mechanical systems. I. Zbl 0567.17001
Sagle, Arthur A.
3
1984
Jordan algebras and connections on homogeneous spaces. Zbl 0281.53029
Sagle, Arthur A.
3
1974
On reductive Lie admissible algebras. Zbl 0193.34104
Sagle, A. A.
3
1971
On anti-commutative algebras and homogeneous spaces. Zbl 0172.46601
Sagle, A. A.
3
1967
Remarks on simple extended Lie algebras. Zbl 0134.27001
Sagle, Arthur A.
3
1965
Quadratic differential equations and algebras. Zbl 0765.17001
Myung, Hyo Chul; Sagle, Arthur A.
2
1992
Nonassociative algebras and Lagrangian mechanics on homogeneous spaces. Zbl 0602.17002
Sagle, Arthur A.
2
1985
Multiplications on homogeneous spaces, nonassociative algebras and connections. Zbl 0285.17003
Sagle, A. A.; Schumi, J. R.
2
1973
On anti-commutative algebras and analytic loops. Zbl 0138.25601
Sagle, A. A.
2
1965
On second cohomology groups of Lie-admissible mutations of an associative algebra. Zbl 0763.17028
Myung, Hyo Chul; Sagle, Arthur A.
1
1990
Quadratic dynamical systems and algebras. Zbl 0830.17001
Kinyon, Michael K.; Sagle, Arthur A.
18
1995
Differential systems and algebras. Zbl 0797.34003
Kinyon, Michael K.; Sagle, Arthur A.
5
1994
Automorphisms and derivations of differential equations and algebras. Zbl 0809.34015
Kinyon, Michael K.; Sagle, Arthur A.
3
1994
Quadratic differential equations and algebras. Zbl 0765.17001
Myung, Hyo Chul; Sagle, Arthur A.
2
1992
On second cohomology groups of Lie-admissible mutations of an associative algebra. Zbl 0763.17028
Myung, Hyo Chul; Sagle, Arthur A.
1
1990
On the construction of reductive Lie-admissible algebras. Zbl 0649.17016
Myung, Hyo Chul; Sagle, Arthur A.
4
1988
Invariant Lagrangian mechanics, connections, and nonassociative algebras. Zbl 0609.17001
Sagle, Arthur A.
4
1986
Nonassociative algebras and Lagrangian mechanics on homogeneous spaces. Zbl 0602.17002
Sagle, Arthur A.
2
1985
Nonassociative algebras and invariant mechanical systems. I. Zbl 0567.17001
Sagle, Arthur A.
3
1984
Analytic H-spaces, Campbell-Hausdorff formula, and alternative algebras. Zbl 0412.17014
Holmes, J. P.; Sagle, A. A.
5
1980
Jordan algebras and connections on homogeneous spaces. Zbl 0281.53029
Sagle, Arthur A.
3
1974
Introduction to Lie groups and Lie algebras. Zbl 0252.22001
Sagle, Arthur A.; Walde, Ralph E.
69
1973
Multiplications on homogeneous spaces, nonassociative algebras and connections. Zbl 0285.17003
Sagle, A. A.; Schumi, J. R.
2
1973
On reductive Lie admissible algebras. Zbl 0193.34104
Sagle, A. A.
3
1971
Some homogeneous Einstein manifolds. Zbl 0198.54801
Sagle, A. A.
14
1970
A note on simple anti-commutative algebras obtained from reductive homogeneous spaces. Zbl 0155.07101
Sagle, A. A.
10
1968
A note on triple systems and totally geodesic submanifold in a homogeneous space. Zbl 0159.51601
Sagle, A. A.
8
1968
On homogeneous spaces, holonomy, and non-associative algebras. Zbl 0159.51503
Sagle, A. A.
5
1968
On homogeneous spaces and reductive subalgebras of simple Lie algebras. Zbl 0153.04502
Sagle, A.; Winter, D. J.
8
1967
On anti-commutative algebras and homogeneous spaces. Zbl 0172.46601
Sagle, A. A.
3
1967
On simple extended Lie algebras over fields of characteristic zero. Zbl 0134.26904
Sagle, Arthur A.
17
1965
On anti-commutative algebras and general Lie triple systems. Zbl 0142.27502
Sagle, A. A.
10
1965
On simple algebras obtained from homogeneous general Lie triple systems. Zbl 0241.17007
Sagle, Arthur A.
4
1965
Remarks on simple extended Lie algebras. Zbl 0134.27001
Sagle, Arthur A.
3
1965
On anti-commutative algebras and analytic loops. Zbl 0138.25601
Sagle, A. A.
2
1965
On anti-commutative algebras with an invariant form. Zbl 0136.02003
Sagle, Arthur A.
4
1964
Simple Malcev algebras over fields of characteristic zero. Zbl 0136.02103
Sagle, Arthur A.
21
1962
On derivations of semi-simple Malcev algebras. Zbl 0105.02502
Sagle, Arthur A.
4
1962
Malcev algebras. Zbl 0101.02302
Sagle, Arthur A.
93
1961
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Cited by 248 Authors

25 Filippov, V. T.
11 Elduque, Alberto
9 Myung, Hyo Chul
8 Sagle, Arthur A.
7 Shestakov, Ivan Pavlovich
6 Calderón Martín, Antonio Jesús
5 Kaĭgorodov, Ivan B.
5 Mencinger, Matej
5 Stitzinger, Ernest Lester
4 Abd El Malek, Alfy
4 Abdelwahab, Hani
4 Arvanitoyeorgos, Andreas
4 Benito, Pilar
4 Brandt, Howard Edward
4 Bremner, Murray R.
4 Chen, Zhiqi
4 Grishkov, Alexander Nikolaevich
4 Hopkins, Nora C.
3 Akivis, Maks A.
3 Anco, Stephen C.
3 Bai, Chengming
3 Goncharov, Maksim E.
3 Kinyon, Michael K.
3 Kornev, Aleksandr Ivanovich
3 Kuz’min, E. N.
3 Liang, Ke
3 Núñez-Valdés, Juan
3 Pérez-Izquierdo, José María
3 Rasskazova, Marina
3 Sabinina, Liudmila L.
3 Sakane, Yusuke
3 Shelekhov, Alexander M.
3 Statha, Marina
3 Strambach, Karl
3 Willems, Jacques L.
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Balanov, Zalman I.
2 Becker, Eberhard
2 Benayadi, Saïd
2 Bonfiglioli, Andrea
2 Brown, Robert Bruce
2 Cabrera García, Miguel
2 Carrillo-Catalán, Ramiro
2 Chu, Tianguang
2 Falcón Ganfornina, Óscar Jesús
2 Falcón Ganfornina, Raúl Manuel
2 Hegazi, Ahmed Sadek
2 Issa, A. Nourou
2 Krasnov, Yakov
2 Kutnjak, Milan
2 Martín-Herce, Fabián
2 Patrangenaru, Victor
2 Popov, Yury
2 Rodionov, Evgeniĭ Dmitrievich
2 Rodríguez Palacios, Angel
2 Socha, Leslaw
2 ’t Hooft, Gerard
2 Tan, Ju
2 Vijayakumar, Gurusamy Rengasamy
2 Xu, Na
2 Zalar, Borut
2 Zusmanovich, Pasha
1 Abbassi, Mohamed Tahar Kadaoui
1 Achilles, Rüdiger
1 Aeyels, Dirk
1 Albertini, Francesca
1 Albuquerque, Helena
1 Allison, Bruce N.
1 Araújo, Fátima
1 Asam, Lilian
1 Atsuyama, Kenji
1 Attan, Sylvain
1 Ayupov, Shavkat Abdullaevich
1 Azam, Saeid
1 Back, Allen
1 Bahturin, Yuri
1 Banks, Stephen Paul
1 Barlotti, Adriano
1 Barreiro, Elisabete
1 Bazdar, Arash
1 Bebiano, Natália Isabel Quadros
1 Ben Haddou, Malika Ait
1 Betten, Dieter
1 Bhattacharya, Amitava
1 Block, Richard E.
1 Bödi, Richard
1 Bokut, Leonid A.
1 Borumand Saeid, Arsham
1 Boujemaa, Hamza
1 Boulmane, Said
1 Broumand Saeid, A.
1 Calderón, Antonio Jesús
1 Carlsson, Renate
1 Carravetta, Francesco
1 Casale, Guy
1 Chang, Kyeongsoo
1 Chavel, Isaac
1 Chen, Liangyun
1 Chen, Yin
1 Chtioui, Taoufik
...and 148 more Authors
all top 5

Cited in 96 Serials

25 Algebra and Logic
21 Journal of Algebra
14 Communications in Algebra
9 Proceedings of the American Mathematical Society
9 Siberian Mathematical Journal
7 Journal of Geometry and Physics
7 Transactions of the American Mathematical Society
7 Linear Algebra and its Applications
6 Mathematical Notes
6 Journal of Pure and Applied Algebra
6 Journal of Soviet Mathematics
4 Journal of Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Archiv der Mathematik
4 Annals of Global Analysis and Geometry
4 Algebras and Representation Theory
4 Journal of Algebra and its Applications
3 International Journal of Systems Science
3 Advances in Mathematics
3 Mathematische Zeitschrift
3 Nagoya Mathematical Journal
3 Tohoku Mathematical Journal. Second Series
3 Differential Geometry and its Applications
3 Journal of Mathematical Sciences (New York)
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Glasnik Matematički. Serija III
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Foundations of Physics
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 International Journal of Modern Physics A
1 International Journal of Modern Physics B
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Ingenieur-Archiv
1 International Journal of Control
1 Journal of the Franklin Institute
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Physics Letters. A
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Glasgow Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal of Mathematical Psychology
1 Journal of the Mathematical Society of Japan
1 Kodai Mathematical Journal
1 Mathematika
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Topology and its Applications
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Annals of Pure and Applied Logic
1 Journal of Symbolic Computation
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 International Journal of Algebra and Computation
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Imaging and Vision
1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Soft Computing
1 Journal of Group Theory
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Journal of Modern Optics
1 Quantum Information Processing
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 Bulletin of the American Mathematical Society
1 Proceedings of the Japan Academy
1 Mathematics in Computer Science
1 Complex Analysis and Operator Theory
1 Asian-European Journal of Mathematics
1 Symmetry
1 Communications in Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Transactions of A. Razmadze Mathematical Institute
all top 5

Cited in 41 Fields

153 Nonassociative rings and algebras (17-XX)
52 Differential geometry (53-XX)
24 Topological groups, Lie groups (22-XX)
18 Group theory and generalizations (20-XX)
17 Ordinary differential equations (34-XX)
12 Computer science (68-XX)
11 Quantum theory (81-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Associative rings and algebras (16-XX)
6 Systems theory; control (93-XX)
5 Mathematical logic and foundations (03-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functional analysis (46-XX)
5 Manifolds and cell complexes (57-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Partial differential equations (35-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 Numerical analysis (65-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 General algebraic systems (08-XX)
2 Several complex variables and analytic spaces (32-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
2 Biology and other natural sciences (92-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year