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Beattie, Margaret

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Author ID: beattie.margaret Recent zbMATH articles by "Beattie, Margaret"
Published as: Beattie, Margaret; Beattie, M.; Beattie, M. A.
Documents Indexed: 60 Publications since 1966
Reviewing Activity: 117 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 366 times in 258 Documents Cited by Year
Constructing pointed Hopf algebras by Ore extensions. Zbl 0948.16026
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
50
2000
A direct sum decomposition for the Brauer group of H-module algebras. Zbl 0342.16010
Beattie, Margaret
28
1976
Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups. Zbl 0902.16028
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.; Năstăsescu, C.
22
1998
Galois extensions for co-Frobenius Hopf algebras. Zbl 0901.16017
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
21
1997
On the number of types of finite dimensional Hopf algebras. Zbl 0922.16021
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
21
1999
A generalization of the smash product of a graded ring. Zbl 0653.16002
Beattie, Margaret
19
1988
Duals of pointed Hopf algebras. Zbl 1025.16016
Beattie, M.
15
2003
Lifting of Nichols algebras of type \(B_2\). (With an appendix “A generalization of the \(q\)-binomial theorem” with I. Rutherford). Zbl 1054.16027
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
11
2002
Hopf algebras of dimension 14. Zbl 1060.16034
Beattie, M.; Dăscălescu, S.
11
2004
A cohomological approach to the Brauer-Long group and the groups of Galois extensions and strongly graded rings. Zbl 0724.13003
Caenepeel, S.; Beattie, M.
10
1991
Duality theorems for rings with actions or coactions. Zbl 0647.16010
Beattie, Margaret
9
1988
Classifying Hopf algebras of a given dimension. Zbl 1308.16025
Beattie, Margaret; García, Gastón Andrés
8
2013
On perfect graded rings. Zbl 0729.16028
Beattie, Margaret; Jespers, Eric
8
1991
The Brauer group of central separable G-Azumaya algebras. Zbl 0424.13002
Beattie, Margaret
8
1978
Twisted Hopf comodule algebras. Zbl 0851.16031
Beattie, M.; Chen, C.-Y.; Zhang, J. J.
8
1996
The Picard group of a category of graded modules. Zbl 0893.16020
Beattie, Margaret; del Rio, Angel
7
1996
Graded equivalences and Picard groups. Zbl 0934.16040
Beattie, Margaret; del Río, Angel
7
1999
A survey of Hopf algebras of low dimension. Zbl 1191.16030
Beattie, Margaret
7
2009
An isomorphism theorem for Ore extension Hopf algebras. Zbl 0951.16014
Beattie, M.
7
2000
Irreducible representations of liftings of quantum planes. Zbl 1229.16025
Andruskiewitsch, N.; Beattie, Margaret
7
2005
A Skolem-Noether theorem for Hopf algebra actions. Zbl 0760.16014
Beattie, Margaret; Ulbrich, K.-H.
7
1990
The Brauer-Long group of \({\mathbb{Z}}/p^ t{\mathbb{Z}}\)-dimodule algebras. Zbl 0694.16005
Beattie, M.; Caenepeel, S.
6
1989
Automorphisms of G-Azumaya algebras. Zbl 0571.16003
Beattie, Margaret
6
1985
Techniques for classifying Hopf algebras and applications to dimension \(p^3\). Zbl 1279.16025
Beattie, Margaret; García, Gastón Andrés
5
2013
Strongly inner actions, coactions, and duality theorems. Zbl 0794.16019
Beattie, Margaret
5
1992
Cocycle deformations for Hopf algebras with a coalgebra projection. Zbl 1204.16024
Ardizzoni, Alessandro; Beattie, Margaret; Menini, Claudia
5
2010
Graded radicals of graded rings. Zbl 0748.16014
Beattie, M.; Stewart, P.
5
1991
Computing the Brauer group of graded Azumaya algebras from its subgroups. Zbl 0589.16002
Beattie, Margaret
4
1986
The categories of Yetter-Drinfel’d modules, Doi-Hopf modules and two-sided two-cosided Hopf modules. Zbl 0983.16029
Beattie, M.; Dăscălescu, S.; Raianu, Ş.; Van Oystaeyen, F.
4
1998
Radford’s \(S^4\) formula for co-Frobenius Hopf algebras. Zbl 1115.16016
Beattie, Margaret; Bulacu, Daniel; Torrecillas, Blas
4
2007
Graded division rings and the Jacobson density theorem. Zbl 0746.16031
Liu, Shaoxue; Beattie, Margaret; Fang, Hongjin
4
1991
On pointed Hopf algebras of dimension \(p^n\). Zbl 0939.16021
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
3
2000
Comparing graded versions of the prime radical. Zbl 0742.16020
Beattie, M. A.; Liu, S.-X.; Stewart, P. N.
3
1991
Categories of modules graded by \(G\)-sets. Applications. Zbl 0855.16037
Beattie, M.; Dăscălescu, S.
2
1996
Braided Hopf algebras obtained from coquasitriangular Hopf algebras. Zbl 1160.16018
Beattie, Margaret; Bulacu, Daniel
2
2008
A universal factorization theorem in topology. Zbl 0151.29603
Sharpe, R.; Beattie, M.; Marsden, J.
2
1966
Cocycle deformations for liftings of quantum linear spaces. Zbl 1247.16023
Ardizzoni, Alessandro; Beattie, Margaret; Menini, Claudia
2
2011
On the Blattner-Montgomery duality theorem for Hopf algebras. Zbl 0756.16005
Beattie, Margaret
2
1992
The coradical of the dual of a lifting of a quantum plane. Zbl 1065.16032
Andruskiewitsch, N.; Beattie, M.
2
2004
Prime ideals and finiteness conditions for Gabriel topologies over commutative rings. Zbl 0772.13007
Beattie, Margaret; Orzech, Morris
1
1992
Inner gradings and Galois extensions with normal basis. Zbl 0686.16028
Beattie, Margaret
1
1989
Graded versions of radicals. Zbl 0699.16006
Beattie, Margaret; Stewart, Patrick
1
1990
A right crossed product and duality. Zbl 0819.16025
Beattie, Margaret
1
1994
The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective. Zbl 1182.16021
Beattie, M.; Iovanov, M. C.; Raianu, Ş.
1
2009
On the antipode of a co-Frobenius (co)quasitriangular Hopf algebra. Zbl 1186.16022
Beattie, Margaret; Bulacu, Daniel
1
2009
Balanced bilinear forms for corings. Zbl 1210.16032
Beattie, M.; Bulacu, D.; Raianu, Ş.
1
2008
A co-Frobenius Hopf algebra with a separable Galois extension is finite. Zbl 0963.16033
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
1
2000
Balanced bilinear forms on matrix and matrix-like coalgebras. Zbl 1147.16023
Beattie, M.; Rose, R.
1
2008
Classifying Hopf algebras of a given dimension. Zbl 1308.16025
Beattie, Margaret; García, Gastón Andrés
8
2013
Techniques for classifying Hopf algebras and applications to dimension \(p^3\). Zbl 1279.16025
Beattie, Margaret; García, Gastón Andrés
5
2013
Cocycle deformations for liftings of quantum linear spaces. Zbl 1247.16023
Ardizzoni, Alessandro; Beattie, Margaret; Menini, Claudia
2
2011
Cocycle deformations for Hopf algebras with a coalgebra projection. Zbl 1204.16024
Ardizzoni, Alessandro; Beattie, Margaret; Menini, Claudia
5
2010
A survey of Hopf algebras of low dimension. Zbl 1191.16030
Beattie, Margaret
7
2009
The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective. Zbl 1182.16021
Beattie, M.; Iovanov, M. C.; Raianu, Ş.
1
2009
On the antipode of a co-Frobenius (co)quasitriangular Hopf algebra. Zbl 1186.16022
Beattie, Margaret; Bulacu, Daniel
1
2009
Braided Hopf algebras obtained from coquasitriangular Hopf algebras. Zbl 1160.16018
Beattie, Margaret; Bulacu, Daniel
2
2008
Balanced bilinear forms for corings. Zbl 1210.16032
Beattie, M.; Bulacu, D.; Raianu, Ş.
1
2008
Balanced bilinear forms on matrix and matrix-like coalgebras. Zbl 1147.16023
Beattie, M.; Rose, R.
1
2008
Radford’s \(S^4\) formula for co-Frobenius Hopf algebras. Zbl 1115.16016
Beattie, Margaret; Bulacu, Daniel; Torrecillas, Blas
4
2007
Irreducible representations of liftings of quantum planes. Zbl 1229.16025
Andruskiewitsch, N.; Beattie, Margaret
7
2005
Hopf algebras of dimension 14. Zbl 1060.16034
Beattie, M.; Dăscălescu, S.
11
2004
The coradical of the dual of a lifting of a quantum plane. Zbl 1065.16032
Andruskiewitsch, N.; Beattie, M.
2
2004
Duals of pointed Hopf algebras. Zbl 1025.16016
Beattie, M.
15
2003
Lifting of Nichols algebras of type \(B_2\). (With an appendix “A generalization of the \(q\)-binomial theorem” with I. Rutherford). Zbl 1054.16027
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
11
2002
Constructing pointed Hopf algebras by Ore extensions. Zbl 0948.16026
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
50
2000
An isomorphism theorem for Ore extension Hopf algebras. Zbl 0951.16014
Beattie, M.
7
2000
On pointed Hopf algebras of dimension \(p^n\). Zbl 0939.16021
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
3
2000
A co-Frobenius Hopf algebra with a separable Galois extension is finite. Zbl 0963.16033
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
1
2000
On the number of types of finite dimensional Hopf algebras. Zbl 0922.16021
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.
21
1999
Graded equivalences and Picard groups. Zbl 0934.16040
Beattie, Margaret; del Río, Angel
7
1999
Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups. Zbl 0902.16028
Beattie, M.; Dăscălescu, S.; Grünenfelder, L.; Năstăsescu, C.
22
1998
The categories of Yetter-Drinfel’d modules, Doi-Hopf modules and two-sided two-cosided Hopf modules. Zbl 0983.16029
Beattie, M.; Dăscălescu, S.; Raianu, Ş.; Van Oystaeyen, F.
4
1998
Galois extensions for co-Frobenius Hopf algebras. Zbl 0901.16017
Beattie, M.; Dăscălescu, S.; Raianu, Ş.
21
1997
Twisted Hopf comodule algebras. Zbl 0851.16031
Beattie, M.; Chen, C.-Y.; Zhang, J. J.
8
1996
The Picard group of a category of graded modules. Zbl 0893.16020
Beattie, Margaret; del Rio, Angel
7
1996
Categories of modules graded by \(G\)-sets. Applications. Zbl 0855.16037
Beattie, M.; Dăscălescu, S.
2
1996
A right crossed product and duality. Zbl 0819.16025
Beattie, Margaret
1
1994
Strongly inner actions, coactions, and duality theorems. Zbl 0794.16019
Beattie, Margaret
5
1992
On the Blattner-Montgomery duality theorem for Hopf algebras. Zbl 0756.16005
Beattie, Margaret
2
1992
Prime ideals and finiteness conditions for Gabriel topologies over commutative rings. Zbl 0772.13007
Beattie, Margaret; Orzech, Morris
1
1992
A cohomological approach to the Brauer-Long group and the groups of Galois extensions and strongly graded rings. Zbl 0724.13003
Caenepeel, S.; Beattie, M.
10
1991
On perfect graded rings. Zbl 0729.16028
Beattie, Margaret; Jespers, Eric
8
1991
Graded radicals of graded rings. Zbl 0748.16014
Beattie, M.; Stewart, P.
5
1991
Graded division rings and the Jacobson density theorem. Zbl 0746.16031
Liu, Shaoxue; Beattie, Margaret; Fang, Hongjin
4
1991
Comparing graded versions of the prime radical. Zbl 0742.16020
Beattie, M. A.; Liu, S.-X.; Stewart, P. N.
3
1991
A Skolem-Noether theorem for Hopf algebra actions. Zbl 0760.16014
Beattie, Margaret; Ulbrich, K.-H.
7
1990
Graded versions of radicals. Zbl 0699.16006
Beattie, Margaret; Stewart, Patrick
1
1990
The Brauer-Long group of \({\mathbb{Z}}/p^ t{\mathbb{Z}}\)-dimodule algebras. Zbl 0694.16005
Beattie, M.; Caenepeel, S.
6
1989
Inner gradings and Galois extensions with normal basis. Zbl 0686.16028
Beattie, Margaret
1
1989
A generalization of the smash product of a graded ring. Zbl 0653.16002
Beattie, Margaret
19
1988
Duality theorems for rings with actions or coactions. Zbl 0647.16010
Beattie, Margaret
9
1988
Computing the Brauer group of graded Azumaya algebras from its subgroups. Zbl 0589.16002
Beattie, Margaret
4
1986
Automorphisms of G-Azumaya algebras. Zbl 0571.16003
Beattie, Margaret
6
1985
The Brauer group of central separable G-Azumaya algebras. Zbl 0424.13002
Beattie, Margaret
8
1978
A direct sum decomposition for the Brauer group of H-module algebras. Zbl 0342.16010
Beattie, Margaret
28
1976
A universal factorization theorem in topology. Zbl 0151.29603
Sharpe, R.; Beattie, M.; Marsden, J.
2
1966
all top 5

Cited by 207 Authors

28 Beattie, Margaret
18 Dăscălescu, Sorin
15 Caenepeel, Stefaan
12 Torrecillas Jover, Blas
12 Wang, Shuanhong
11 Nastasescu, Constantin
9 Andruskiewitsch, Nicolás
9 Menini, Claudia
9 van Oystaeyen, Freddy
8 Bulacu, Daniel
6 Angiono, Iván Ezequiel
6 Chen, Huixiang
6 Cuadra, Juan
6 Delvaux, Lydia
6 Raianu, Şerban
5 Carnovale, Giovanna
5 Fernández Vilaboa, José Manuel
5 García, Gastón Andrés
5 Schneider, Hans-Jürgen
5 Zhang, Yinhuo
4 Abrams, Gene D.
4 Ardizzoni, Alessandro
4 Bontea, Costel-Gabriel
4 del Río, Angel
4 Guédénon, Thomas
4 Haefner, Jeremy
4 Iovanov, Miodrag-Cristian
4 Krop, Leonid
4 Masuoka, Akira
4 Ng, Siu-Hung
4 Panaite, Florin
4 Van Daele, Alfons
4 Yang, Shilin
3 Abella, Andres
3 Alonso Álvarez, José Nicanor
3 Brzeziński, Tomasz
3 Fukuda, Daijiro
3 García Iglesias, Agustín
3 Grunenfelder, Luzius
3 Kanunnikov, Andrei L.
3 Kelarev, Andrei Vladimirovich
3 Kharchenko, Vladislav K.
3 Militaru, Gigel
3 Radford, David E.
3 Vay, Cristian
3 Vercruysse, Joost
3 Villanueva Novoa, Emilio
3 Wang, Xingting
2 Agore, Ana-Loredana
2 Asashiba, Hideto
2 Bagio, Dirceu
2 Balaba, Irina Nikolaevna
2 Balan, Adriana
2 Burciu, Sebastian M.
2 Cai, Chuanren
2 Castaño Iglesias, Florencio
2 Chen, Quanguo
2 Chuang, Chen-Lian
2 Etingof, Pavel Il’ich
2 Femić, Bojana
2 García Rozas, Juan Ramon
2 Gelaki, Shlomo
2 Giraldi, João Matheus Jury
2 Gómez Torrecillas, José
2 González Rodríguez, Ramón
2 Guo, Shuangjian
2 Ilić-Georgijević, Emil
2 Jespers, Eric
2 Ju, Tengxia
2 Kassel, Christian
2 Koppinen, Markku
2 Lu, Di-Ming
2 Marcus, Andrei
2 Mikhalëv, Aleksandr Vasil’evich
2 Nikshych, Dmitri
2 Sierra, Susan J.
2 Skryabin, Serge
2 Stewart, Patrick N.
2 Tsai, Yuan-Tsung
2 Turner, Ryan B.
2 Wang, Dingguo
2 Wang, Linhong
2 Wang, Zhen
2 Wisbauer, Robert
2 You, Lan
1 Al-Shomrani, Mohammed Mosa
1 Al-Subaie, Najla Sh.
1 Albu, Toma
1 Anderson, Frank W.
1 Ara, Pere
1 Bai, Li
1 Boboc, Crina
1 Böhm, Gabriella
1 Calinescu, Corina
1 Cao, Haijun
1 Ceretto, Daniel
1 Chen, Caoyu
1 Chen, Jialei
1 Chen, Xiaojuan
1 Cheng, Yilin
...and 107 more Authors
all top 5

Cited in 56 Serials

60 Communications in Algebra
57 Journal of Algebra
18 Journal of Pure and Applied Algebra
11 Journal of Algebra and its Applications
10 Algebras and Representation Theory
9 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
5 Israel Journal of Mathematics
5 Acta Mathematica Sinica. English Series
4 Advances in Mathematics
4 Applied Categorical Structures
4 Frontiers of Mathematics in China
3 Journal of Mathematical Physics
3 Journal of Mathematical Sciences (New York)
3 São Paulo Journal of Mathematical Sciences
2 Mathematical Notes
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 \(K\)-Theory
2 International Journal of Mathematics
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Illinois Journal of Mathematics
1 Quaestiones Mathematicae
1 Revista Colombiana de Matemáticas
1 Semigroup Forum
1 Bulletin of the Iranian Mathematical Society
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Acta Mathematica Sinica. New Series
1 Applied Mathematics. Series B (English Edition)
1 Algebra Colloquium
1 Annales Mathématiques Blaise Pascal
1 Advances in Applied Clifford Algebras
1 Transformation Groups
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Kragujevac Journal of Mathematics
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Sarajevo Journal of Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Noncommutative Geometry
1 Algebra & Number Theory
1 European Journal of Pure and Applied Mathematics
1 Symmetry
1 Bulletin of Mathematical Sciences
1 Axioms

Citations by Year