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## Taft, Earl Jay

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 Author ID: taft.earl-jay Published as: Taft, Earl J.; Taft, E. J.; Taft, Earl; Taft, Earl Jay
 Documents Indexed: 64 Publications since 1957, including 1 Book Reviewing Activity: 574 Reviews
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#### Co-Authors

 40 single-authored 4 Wilson, Robert Lee 3 Iyer, Uma N. 3 Rodríguez-Romo, Suemi 2 Müller, Eric F. 2 Ng, Siu-Hung 2 Nichols, Warren D. 1 Beggs, Edwin J. 1 Futia, Carl A. 1 Green, James Alexander 1 Hallahan, C. B. 1 Hao, Zhifeng 1 Larson, Richard Gustavus 1 Lauve, Aaron 1 Peterson, Brian L. 1 Radford, David E. 1 Shum, Kar-Ping 1 Smith, Jonathan Dallas Hayden 1 Towber, Jacob 1 Wan, Zhexian
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#### Serials

 10 Journal of Algebra 4 Communications in Algebra 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 2 Illinois Journal of Mathematics 2 Portugaliae Mathematica 2 Congressus Numerantium 2 Journal of Algebra and its Applications 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Advances in Applied Mathematics 1 Aequationes Mathematicae 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society
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#### Fields

 42 Associative rings and algebras (16-XX) 22 Nonassociative rings and algebras (17-XX) 9 Number theory (11-XX) 6 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 498 times in 357 Documents Cited by Year
The order of the antipode of finite-dimensional Hopf algebra. Zbl 0222.16012
Taft, Earl J.
1971
Witt and Virasoro algebras as Lie bialgebras. Zbl 0786.17015
Taft, Earl J.
1993
Quantum deformation of flag schemes and Grassmann schemes. I: A $$q$$- deformation of the shape-algebra for $$GL(n)$$. Zbl 0739.17007
Taft, Earl; Towber, Jacob
1991
Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. Zbl 0971.17008
Ng, Siu-Hung; Taft, Earl J.
2000
On antipodes in pointed Hopf algebras. Zbl 0282.16008
Taft, Earl J.; Wilson, Robert Lee
1974
Invariant Wedderburn factors. Zbl 0094.02103
Taft, E. J.
1957
The Hopf algebra of linearly recursive sequences. Zbl 0434.16008
Peterson, Brian; Taft, Earl J.
1980
Reflexivity of algebras and coalgebras. Zbl 0261.16013
Taft, Earl J.
1972
Left Hopf algebras. Zbl 0439.16008
Green, James A.; Nichols, Warren D.; Taft, Earl J.
1980
Orthogonal conjugacies in associative and Lie algebras. Zbl 0127.25704
Taft, Earl J.
1964
The algebraic structure of linearly recursive sequences under Hadamard product. Zbl 0729.11007
Larson, Richard G.; Taft, Earl J.
1990
Hurwitz invertibility of linearly recursive sequences. Zbl 0694.16006
Taft, Earl J.
1990
The left antipodes of a left Hopf algebra. Zbl 0501.16013
Nichols, Warren D.; Taft, Earl J.
1982
A left quantum group. Zbl 1073.16033
Rodríguez-Romo, Suemi; Taft, Earl J.
2005
There exist finite-dimensional Hopf algebras with antipodes of arbitrary even order. Zbl 0428.16007
Taft, Earl J.; Wilson, Robert Lee
1980
Invariant Levi factors. Zbl 0104.26101
Taft, Earl J.
1962
Hopf algebras with nonsemisimple antipode. Zbl 0305.16008
Taft, Earl J.; Wilson, Robert Lee
1975
A class of left quantum groups modeled after $$\text{SL}_q(n)$$. Zbl 1125.16028
Lauve, Aaron; Taft, Earl J.
2007
Some quantum-like Hopf algebras which remain noncommutative when $$q=1$$. Zbl 1045.16020
Rodríguez-Romo, Suemi; Taft, Earl
2002
Forms of certain Hopf algebras. Zbl 0324.16010
Radford, David E.; Taft, Earl J.; Wilson, Robert Lee
1975
Cohomology of groups of algebra automorphisms. Zbl 0169.05204
Taft, E. J.
1968
Uniqueness of invariant Wedderburn factors. Zbl 0121.27604
Taft, E. J.
1962
On certain d-groups of algebra automorphisms and antiautomorphisms. Zbl 0158.28603
Taft, E. J.
1966
Bialgebras of recursive sequences and combinatorial identities. Zbl 1004.05010
Futia, Carl A.; Müller, Eric F.; Taft, Earl J.
2002
Cleft algebras with operator groups. Zbl 0106.25501
Taft, Earl J.
1961
Cayley symmetries in associative algebras. Zbl 0124.02101
Taft, E. J.
1963
Some remarks on invariant substructures of associative algebras. Zbl 0134.03705
Taft, E. J.
1965
Invariant splitting in Jordan and alternative algebras. Zbl 0243.17014
Taft, Earl J.
1965
The Whitehead first lemma for alternative algebras. Zbl 0080.02501
Taft, Earl Jay
1957
Algebraic aspects of linearly recursive sequences. Zbl 0819.16034
Taft, Earl J.
1994
Reflexivity of algebras and coalgebras. II. Zbl 0369.16009
Taft, Earl J.
1977
Noncocommutative sequences of divided powers. Zbl 0494.16006
Taft, Earl J.
1982
Hadamard invertibility of linearly recursive sequences in several variables. Zbl 0824.11007
Taft, Earl J.
1995
Orthogonal conjugacies in finite groups. Zbl 0144.01703
Taft, E. J.
1967
Quantum convolution of linearly recursive sequences. Zbl 0899.16022
Ng, Siu-Hung; Taft, Earl J.
1997
One-sided Hopf algebras. Zbl 1176.16023
Rodríguez-Romo, Suemi; Taft, Earl J.
2005
One-sided Hopf algebras and quantum quasigroups. Zbl 1398.16030
Iyer, Uma N.; Smith, Jonathan D. H.; Taft, Earl J.
2018
Operator groups and quasi-orthogonality. Zbl 0106.25502
Taft, Earl J.
1963
Cohomology of algebraic groups and invariant splitting of algebras. Zbl 0154.02804
Taft, E. J.
1967
Correction and further remarks: On certain d-groups of algebra automorphisms and antiautomorphisms. Zbl 0188.09202
Taft, E. J.
1970
On the splitting of Hopf algebra modules. Zbl 0216.33303
Taft, E. J.
1971
The dual of a certain left quantum group. Zbl 1343.16023
Iyer, Uma N.; Taft, Earl J.
2016
The Lie multiplication in the Lie duals of the Witt algebras. Zbl 1362.17040
Taft, Earl J.; Hao, Zhifeng
2006
One-sided Hopf algebras and quantum quasigroups. Zbl 1398.16030
Iyer, Uma N.; Smith, Jonathan D. H.; Taft, Earl J.
2018
The dual of a certain left quantum group. Zbl 1343.16023
Iyer, Uma N.; Taft, Earl J.
2016
A class of left quantum groups modeled after $$\text{SL}_q(n)$$. Zbl 1125.16028
Lauve, Aaron; Taft, Earl J.
2007
The Lie multiplication in the Lie duals of the Witt algebras. Zbl 1362.17040
Taft, Earl J.; Hao, Zhifeng
2006
A left quantum group. Zbl 1073.16033
Rodríguez-Romo, Suemi; Taft, Earl J.
2005
One-sided Hopf algebras. Zbl 1176.16023
Rodríguez-Romo, Suemi; Taft, Earl J.
2005
Some quantum-like Hopf algebras which remain noncommutative when $$q=1$$. Zbl 1045.16020
Rodríguez-Romo, Suemi; Taft, Earl
2002
Bialgebras of recursive sequences and combinatorial identities. Zbl 1004.05010
Futia, Carl A.; Müller, Eric F.; Taft, Earl J.
2002
Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. Zbl 0971.17008
Ng, Siu-Hung; Taft, Earl J.
2000
Quantum convolution of linearly recursive sequences. Zbl 0899.16022
Ng, Siu-Hung; Taft, Earl J.
1997
Hadamard invertibility of linearly recursive sequences in several variables. Zbl 0824.11007
Taft, Earl J.
1995
Algebraic aspects of linearly recursive sequences. Zbl 0819.16034
Taft, Earl J.
1994
Witt and Virasoro algebras as Lie bialgebras. Zbl 0786.17015
Taft, Earl J.
1993
Quantum deformation of flag schemes and Grassmann schemes. I: A $$q$$- deformation of the shape-algebra for $$GL(n)$$. Zbl 0739.17007
Taft, Earl; Towber, Jacob
1991
The algebraic structure of linearly recursive sequences under Hadamard product. Zbl 0729.11007
Larson, Richard G.; Taft, Earl J.
1990
Hurwitz invertibility of linearly recursive sequences. Zbl 0694.16006
Taft, Earl J.
1990
The left antipodes of a left Hopf algebra. Zbl 0501.16013
Nichols, Warren D.; Taft, Earl J.
1982
Noncocommutative sequences of divided powers. Zbl 0494.16006
Taft, Earl J.
1982
The Hopf algebra of linearly recursive sequences. Zbl 0434.16008
Peterson, Brian; Taft, Earl J.
1980
Left Hopf algebras. Zbl 0439.16008
Green, James A.; Nichols, Warren D.; Taft, Earl J.
1980
There exist finite-dimensional Hopf algebras with antipodes of arbitrary even order. Zbl 0428.16007
Taft, Earl J.; Wilson, Robert Lee
1980
Reflexivity of algebras and coalgebras. II. Zbl 0369.16009
Taft, Earl J.
1977
Hopf algebras with nonsemisimple antipode. Zbl 0305.16008
Taft, Earl J.; Wilson, Robert Lee
1975
Forms of certain Hopf algebras. Zbl 0324.16010
Radford, David E.; Taft, Earl J.; Wilson, Robert Lee
1975
On antipodes in pointed Hopf algebras. Zbl 0282.16008
Taft, Earl J.; Wilson, Robert Lee
1974
Reflexivity of algebras and coalgebras. Zbl 0261.16013
Taft, Earl J.
1972
The order of the antipode of finite-dimensional Hopf algebra. Zbl 0222.16012
Taft, Earl J.
1971
On the splitting of Hopf algebra modules. Zbl 0216.33303
Taft, E. J.
1971
Correction and further remarks: On certain d-groups of algebra automorphisms and antiautomorphisms. Zbl 0188.09202
Taft, E. J.
1970
Cohomology of groups of algebra automorphisms. Zbl 0169.05204
Taft, E. J.
1968
Orthogonal conjugacies in finite groups. Zbl 0144.01703
Taft, E. J.
1967
Cohomology of algebraic groups and invariant splitting of algebras. Zbl 0154.02804
Taft, E. J.
1967
On certain d-groups of algebra automorphisms and antiautomorphisms. Zbl 0158.28603
Taft, E. J.
1966
Some remarks on invariant substructures of associative algebras. Zbl 0134.03705
Taft, E. J.
1965
Invariant splitting in Jordan and alternative algebras. Zbl 0243.17014
Taft, Earl J.
1965
Orthogonal conjugacies in associative and Lie algebras. Zbl 0127.25704
Taft, Earl J.
1964
Cayley symmetries in associative algebras. Zbl 0124.02101
Taft, E. J.
1963
Operator groups and quasi-orthogonality. Zbl 0106.25502
Taft, Earl J.
1963
Invariant Levi factors. Zbl 0104.26101
Taft, Earl J.
1962
Uniqueness of invariant Wedderburn factors. Zbl 0121.27604
Taft, E. J.
1962
Cleft algebras with operator groups. Zbl 0106.25501
Taft, Earl J.
1961
Invariant Wedderburn factors. Zbl 0094.02103
Taft, E. J.
1957
The Whitehead first lemma for alternative algebras. Zbl 0080.02501
Taft, Earl Jay
1957
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#### Cited by 341 Authors

 30 Taft, Earl Jay 15 Radford, David E. 14 Su, Yucai 12 Chen, Huixiang 10 Li, JunBo 9 Fioresi, Rita 8 Song, Guang’ai 7 Ng, Siu-Hung 7 Yang, Hengyun 6 Fa, Huanxia 6 Schneider, Hans-Jürgen 6 Westreich, Sara 6 Xin, Bin 6 Yue, Xiaoqing 5 Gordienko, Alekseĭ Sergeevich 5 Paykan, Kamal 4 Cohen, Miriam 4 Gelaki, Shlomo 4 Giambruno, Antonio 4 Grunenfelder, Luzius 4 Montgomery, Susan 4 Nichols, Warren D. 4 Saracco, Paolo 4 Smith, Jonathan Dallas Hayden 4 Stokke, Anna 4 Takeuchi, Mitsuhiro 4 van Oystaeyen, Freddy 4 Wilson, Robert Lee 4 Yang, Shilin 3 Allen, Harry Prince 3 Carlsson, Renate 3 Cerlienco, Luigi 3 Danilov, Vladimir I. 3 Gaddis, Jason 3 Han, Jianzhi 3 Hu, Naihong 3 Huang, Hua-Lin 3 Iovanov, Miodrag-Cristian 3 Jing, Naihuan 3 Karzanov, Aleksandr V. 3 Kharchenko, Vladislav K. 3 Košir, Tomaž 3 La Mattina, Daniela 3 Lauve, Aaron 3 Li, Fang 3 Liu, Dong 3 Ma, Tianshui 3 Rodríguez-Romo, Suemi 3 Ştefan, Dragoş 3 Wang, Shuanhong 3 Wilson, James B. 3 Wu, Yuezhu 3 Wu, Zhixiang 3 Zaĭtsev, Mikhail Vladimirovich 3 Zhang, Jian 3 Zhang, Pu 3 Zhang, Yinhuo 2 Abuhlail, Jawad Y. 2 Andruskiewitsch, Nicolás 2 Ardizzoni, Alessandro 2 Awata, Hidetoshi 2 Beidar, Konstantin Igorevich 2 Bergen, Jeffrey 2 Bichon, Julien 2 Borowiec, Andrzej Zdzisław 2 Brocki, Lennart 2 Brooksbank, Peter A. 2 Cheng, Yongsheng 2 Cheng, Yungchen 2 Chervov, Alexander Viktorovich 2 Diaz Sosa, M. L. 2 El Kaoutit, Laiachi 2 Falqui, Gregorio 2 Fischman, Davida 2 Gao, Xing 2 Goldman, Jerry I. 2 Gómez González, F. A. 2 Hacon, Christopher Derek 2 Heckenberger, István 2 Keigher, William F. 2 Kowalski-Glikman, Jerzy 2 Larson, Richard Gustavus 2 Le Bruyn, Lieven 2 Lin, Bertrand I-peng 2 Marques de Sá, Eduardo 2 Masuoka, Akira 2 Müller, Eric F. 2 Nuss, Philippe 2 Ó Buachalla, Réamonn 2 Odake, Satoru 2 Pei, Yufeng 2 Piras, Francesco 2 Rubtsov, Vladimir Nikolaevich 2 Šťovíček, Pavel 2 Stoyanov, Ognyan S. 2 Sun, Hua 2 Sun, Jiancai 2 Unger, Josua 2 Vendramin, Leandro 2 Verde-Star, Luis ...and 241 more Authors
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#### Cited in 79 Serials

 86 Journal of Algebra 46 Communications in Algebra 28 Journal of Pure and Applied Algebra 13 Transactions of the American Mathematical Society 11 Proceedings of the American Mathematical Society 9 Israel Journal of Mathematics 9 Journal of Mathematical Physics 9 Algebras and Representation Theory 8 Advances in Mathematics 8 Algebra Colloquium 6 Advances in Applied Mathematics 5 Letters in Mathematical Physics 5 Mathematische Annalen 5 Linear Algebra and its Applications 5 Acta Mathematica Sinica. English Series 5 Frontiers of Mathematics in China 4 Communications in Mathematical Physics 4 Reviews in Mathematical Physics 4 Journal of Geometry and Physics 4 Chinese Annals of Mathematics. Series B 4 Bulletin of the American Mathematical Society 3 Mathematische Zeitschrift 3 Journal of Algebra and its Applications 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Glasgow Mathematical Journal 2 Journal of Soviet Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Applicandae Mathematicae 2 Science in China. Series A 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Mathematical Sciences (New York) 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Physics Letters. B 1 Chaos, Solitons and Fractals 1 Algebra and Logic 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Le Matematiche 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Programming and Computer Software 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Séminaire Lotharingien de Combinatoire 1 Journal of High Energy Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Algebra and Discrete Mathematics 1 International Journal of Quantum Information 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 36 Fields

 246 Associative rings and algebras (16-XX) 140 Nonassociative rings and algebras (17-XX) 35 Group theory and generalizations (20-XX) 34 Quantum theory (81-XX) 25 Category theory; homological algebra (18-XX) 21 Combinatorics (05-XX) 18 Algebraic geometry (14-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 13 Number theory (11-XX) 10 Commutative algebra (13-XX) 10 Manifolds and cell complexes (57-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 6 $$K$$-theory (19-XX) 4 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)