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## Pumplün, Susanne

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 Author ID: pumplun.susanne Published as: Pumplün, S.; Pumplün, Susanne Homepage: https://www.nottingham.ac.uk/mathematics/people/susanne.pumpluen External Links: MGP · ORCID · dblp · GND
 Documents Indexed: 65 Publications since 1994
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#### Co-Authors

 50 single-authored 5 Brown, Christian 3 Steele, Andrew 2 Unger, Thomas P. 1 Astier, Vincent 1 Fitzgerald, Robert W. 1 Morandi, Patrick J. 1 Owen, Adam 1 Pérez-Isquierdo, José M. 1 Walcher, Sebastian
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#### Serials

 13 Communications in Algebra 9 Journal of Algebra 4 Advances in Mathematics of Communications 3 Israel Journal of Mathematics 3 Beiträge zur Algebra und Geometrie 3 Journal of Pure and Applied Algebra 3 Manuscripta Mathematica 3 Results in Mathematics 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 $$K$$-Theory 2 Indagationes Mathematicae. New Series 1 Archiv der Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Expositiones Mathematicae 1 Applicable Algebra in Engineering, Communication and Computing 1 Algebra Colloquium 1 Mathematical Proceedings of the Royal Irish Academy 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 International Journal of Information and Coding Theory 1 Communications in Mathematics
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#### Fields

 48 Nonassociative rings and algebras (17-XX) 22 Number theory (11-XX) 17 Associative rings and algebras (16-XX) 11 Field theory and polynomials (12-XX) 8 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 4 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 161 times in 95 Documents Cited by Year
On the tensor product of composition algebras. Zbl 1017.17006
Morandi, Patrick J.; Pérez-Isquierdo, José M.; Pumplün, S.
2001
On the zeros of polynomials over quaternions. Zbl 1024.12002
Pumplün, Susanne; Walcher, Sebastian
2002
Nonassociative quaternion algebras over rings. Zbl 1161.17300
Pumplün, S.; Astier, V.
2006
Quaternion algebras over elliptic curves. Zbl 0920.17001
Pumplün, Susanne
1998
Fast-decodable MIDO codes from non-associative algebras. Zbl 1338.94109
Pumplün, S.; Steele, A.
2015
The nonassociative algebras used to build fast-decodable space-time block codes. Zbl 1366.17002
Pumplün, Susanne; Steele, Andrew
2015
Space-time block codes from nonassociative division algebras. Zbl 1246.94038
Pumplün, Susanne; Unger, Thomas
2011
Finite nonassociative algebras obtained from skew polynomials and possible applications to $$(f,\sigma,\delta)$$-codes. Zbl 1418.17013
Pumplün, Susanne
2017
Albert algebras over curves of genus zero and one. Zbl 1209.17025
Pumplün, S.
2008
Indecomposable forms of higher degree. Zbl 1090.11024
Pumplün, S.
2006
How to obtain division algebras used for fast-decodable space-time block codes. Zbl 1359.17007
Pumplün, Susanne
2014
Tensor products of nonassociative cyclic algebras. Zbl 1395.17005
Pumplün, S.
2016
Some classes of multiplicative forms of higher degree. Zbl 1195.11051
Pumplün, S.
2009
The automorphisms of Petit’s algebras. Zbl 1457.17002
Brown, C.; Pumplün, Susanne
2018
Sums of squares in octonion algebras. Zbl 1134.17302
Pumplün, S.
2005
Composition algebras over rings of genus zero. Zbl 0924.17002
Pumplün, Susanne
1999
How to obtain division algebras from a generalized Cayley-Dickson doubling process. Zbl 1298.17006
Pumplün, S.
2014
A non-orthogonal Cayley-Dickson doubling. Zbl 1138.17002
Pumplün, S.
2006
Composition algebras over a ring of fractions. Zbl 0887.17003
Pumplün, Susanne
1997
Nonassociative differential extensions of characteristic $$p$$. Zbl 1380.17003
Pumplün, Susanne
2017
Jordan algebras over algebraic varieties. Zbl 1255.17015
Pumplün, S.
2010
How to obtain lattices from $$(f,\sigma,\delta)$$-codes via a generalization of construction A. Zbl 1436.94113
Pumplün, Susanne
2018
Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index. Zbl 1066.14040
Pumplün, S.
2004
The Hermitian level of composition algebras. Zbl 1037.17007
Pumplün, S.; Unger, T.
2002
Classes of structurable algebras of skew-rank. Zbl 1237.17006
Pumplün, S.
2010
Round forms of higher degree. Zbl 1282.11023
Pumplün, S.
2013
On flexible quadratic algebras. Zbl 1164.17008
Pumplün, S.
2008
Factoring skew polynomials over Hamilton’s quaternion algebra and the complex numbers. Zbl 1360.17006
Pumplün, S.
2015
$$u$$-invariants for forms of higher degree. Zbl 1167.11017
Pumplün, S.
2009
Structurable algebras of skew-rank 1 over the affine plane. Zbl 1300.17023
Pumplün, Susanne
2011
Nonassociative cyclic extensions of fields and central simple algebras. Zbl 1472.17013
Brown, C.; Pumplün, S.
2019
Algebras whose right nucleus is a central simple algebra. Zbl 1390.17006
Pumplün, S.
2018
Involutions on composition algebras. Zbl 1053.17006
Pumplün, S.
2003
Sums of $$d$$th powers in non-commutative rings. Zbl 1219.11062
Pumplün, Susanne
2007
Forms of higher degree permitting composition. Zbl 1262.11052
Pumplün, S.
2011
How to obtain division algebras from twisted Cayley-Dickson doublings. Zbl 1292.17003
Pumplün, S.
2012
Construction method for some real division algebras with $$\mathfrak{su}(3)$$ as derivation algebra. Zbl 1268.17005
Pumplün, S.
2012
Composition algebras over Laurent polynomials. Zbl 0872.17001
Pumplün, Susanne
1997
The Witt ring of a Brauer-Severi variety. Zbl 0924.14008
Pumplün, Susanne
1998
Composition algebras over $$k[t,\sqrt{at^2+b}]$$. Zbl 0939.17003
Pumplün, Susanne
1998
Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Zbl 1421.12003
Brown, Christian; Pumplün, Susanne; Steele, Andrew
2018
Quotients of orders in algebras obtained from skew polynomials with applications to coding theory. Zbl 1411.17009
Pumplün, Susanne
2018
How a nonassociative algebra reflects the properties of a skew polynomial. Zbl 07286308
Brown, Christian; Pumplün, Susanne
2021
How a nonassociative algebra reflects the properties of a skew polynomial. Zbl 07286308
Brown, Christian; Pumplün, Susanne
2021
Nonassociative cyclic extensions of fields and central simple algebras. Zbl 1472.17013
Brown, C.; Pumplün, S.
2019
The automorphisms of Petit’s algebras. Zbl 1457.17002
Brown, C.; Pumplün, Susanne
2018
How to obtain lattices from $$(f,\sigma,\delta)$$-codes via a generalization of construction A. Zbl 1436.94113
Pumplün, Susanne
2018
Algebras whose right nucleus is a central simple algebra. Zbl 1390.17006
Pumplün, S.
2018
Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Zbl 1421.12003
Brown, Christian; Pumplün, Susanne; Steele, Andrew
2018
Quotients of orders in algebras obtained from skew polynomials with applications to coding theory. Zbl 1411.17009
Pumplün, Susanne
2018
Finite nonassociative algebras obtained from skew polynomials and possible applications to $$(f,\sigma,\delta)$$-codes. Zbl 1418.17013
Pumplün, Susanne
2017
Nonassociative differential extensions of characteristic $$p$$. Zbl 1380.17003
Pumplün, Susanne
2017
Tensor products of nonassociative cyclic algebras. Zbl 1395.17005
Pumplün, S.
2016
Fast-decodable MIDO codes from non-associative algebras. Zbl 1338.94109
Pumplün, S.; Steele, A.
2015
The nonassociative algebras used to build fast-decodable space-time block codes. Zbl 1366.17002
Pumplün, Susanne; Steele, Andrew
2015
Factoring skew polynomials over Hamilton’s quaternion algebra and the complex numbers. Zbl 1360.17006
Pumplün, S.
2015
How to obtain division algebras used for fast-decodable space-time block codes. Zbl 1359.17007
Pumplün, Susanne
2014
How to obtain division algebras from a generalized Cayley-Dickson doubling process. Zbl 1298.17006
Pumplün, S.
2014
Round forms of higher degree. Zbl 1282.11023
Pumplün, S.
2013
How to obtain division algebras from twisted Cayley-Dickson doublings. Zbl 1292.17003
Pumplün, S.
2012
Construction method for some real division algebras with $$\mathfrak{su}(3)$$ as derivation algebra. Zbl 1268.17005
Pumplün, S.
2012
Space-time block codes from nonassociative division algebras. Zbl 1246.94038
Pumplün, Susanne; Unger, Thomas
2011
Structurable algebras of skew-rank 1 over the affine plane. Zbl 1300.17023
Pumplün, Susanne
2011
Forms of higher degree permitting composition. Zbl 1262.11052
Pumplün, S.
2011
Jordan algebras over algebraic varieties. Zbl 1255.17015
Pumplün, S.
2010
Classes of structurable algebras of skew-rank. Zbl 1237.17006
Pumplün, S.
2010
Some classes of multiplicative forms of higher degree. Zbl 1195.11051
Pumplün, S.
2009
$$u$$-invariants for forms of higher degree. Zbl 1167.11017
Pumplün, S.
2009
Albert algebras over curves of genus zero and one. Zbl 1209.17025
Pumplün, S.
2008
On flexible quadratic algebras. Zbl 1164.17008
Pumplün, S.
2008
Sums of $$d$$th powers in non-commutative rings. Zbl 1219.11062
Pumplün, Susanne
2007
Nonassociative quaternion algebras over rings. Zbl 1161.17300
Pumplün, S.; Astier, V.
2006
Indecomposable forms of higher degree. Zbl 1090.11024
Pumplün, S.
2006
A non-orthogonal Cayley-Dickson doubling. Zbl 1138.17002
Pumplün, S.
2006
Sums of squares in octonion algebras. Zbl 1134.17302
Pumplün, S.
2005
Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index. Zbl 1066.14040
Pumplün, S.
2004
Involutions on composition algebras. Zbl 1053.17006
Pumplün, S.
2003
On the zeros of polynomials over quaternions. Zbl 1024.12002
Pumplün, Susanne; Walcher, Sebastian
2002
The Hermitian level of composition algebras. Zbl 1037.17007
Pumplün, S.; Unger, T.
2002
On the tensor product of composition algebras. Zbl 1017.17006
Morandi, Patrick J.; Pérez-Isquierdo, José M.; Pumplün, S.
2001
Composition algebras over rings of genus zero. Zbl 0924.17002
Pumplün, Susanne
1999
Quaternion algebras over elliptic curves. Zbl 0920.17001
Pumplün, Susanne
1998
The Witt ring of a Brauer-Severi variety. Zbl 0924.14008
Pumplün, Susanne
1998
Composition algebras over $$k[t,\sqrt{at^2+b}]$$. Zbl 0939.17003
Pumplün, Susanne
1998
Composition algebras over a ring of fractions. Zbl 0887.17003
Pumplün, Susanne
1997
Composition algebras over Laurent polynomials. Zbl 0872.17001
Pumplün, Susanne
1997
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#### Cited by 71 Authors

 44 Pumplün, Susanne 5 Brown, Christian 5 Pérez-Izquierdo, José María 3 Steele, Andrew 3 Tuganbaev, Askar Akanovich 2 Farouki, Rida T. 2 Flaut, Cristina 2 Gentili, Graziano 2 Huang, Jing 2 Jiménez-Gestal, Clara 2 Li, Shuchao 2 Markov, Viktor T. 2 O’Ryan, Manuel 2 Petersson, Holger P. 2 Stoppato, Caterina 2 Walcher, Sebastian 1 Alsaody, Seidon 1 Anderson, Dave Edward 1 Antieau, Benjamin 1 Aranda Orna, Diego 1 Astier, Vincent 1 Barreiro, Elisabete 1 Berhuy, Grégory 1 Boulagouaz, M’hammed 1 Bremner, Murray R. 1 Cheng, Xuehan 1 Córdova-Martínez, Alejandra S. 1 Deajim, Abdulaziz 1 dos Santos, Clotilzio Moreira 1 Dospra, Petroula 1 Feng, Lianggui 1 Fitzgerald, Robert W. 1 Garibaldi, Skip 1 Giannelli, Carlotta 1 Jakobs, Wencke 1 Janovská, Drahoslava 1 Jia, Zhigang 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Krashen, Daniel 1 Krieg, Aloys 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Luo, Wenjun 1 Macias-Virgós, Enrique 1 Madariaga, Sara 1 Mierzejewski, Dmytro A. 1 Mondoc, Daniel 1 Morandi, Patrick J. 1 Nystedt, Patrik 1 Öinert, Johan 1 Opfer, Gerhard 1 O’Shea, James 1 Owen, Adam 1 Pereira-Sáez, María José 1 Plotkin, Eugene 1 Rehmann, Ulf 1 Ryom-Hansen, Steen 1 Sakkalis, Takis 1 Sánchez Ortega, Juana 1 Sestini, Alessandra 1 Shabalin, T. I. 1 Shapiro, Daniel Byron 1 Shestakov, Ivan Pavlovich 1 Tikohonov, Sergeĭ Viktorovich 1 Tvalavadze, Marina V. 1 van Geemen, Bert 1 Wilczyński, Dariusz M. 1 Wills-Toro, Luis Alberto 1 Yanchevskii, Vyacheslav Ivanovich 1 Yao, Bo 1 Zhang, Xiang 1 Zhao, Meixiang
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#### Cited in 37 Serials

 18 Communications in Algebra 11 Journal of Algebra 6 Journal of Pure and Applied Algebra 4 Israel Journal of Mathematics 4 Journal of Algebra and its Applications 4 Advances in Mathematics of Communications 3 Linear and Multilinear Algebra 3 Advances in Mathematics 3 Results in Mathematics 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 2 Beiträge zur Algebra und Geometrie 2 Glasgow Mathematical Journal 2 Journal of Symbolic Computation 2 Advances in Applied Clifford Algebras 2 Communications in Mathematics 1 Computers & Mathematics with Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Applicable Algebra in Engineering, Communication and Computing 1 Vestnik St. Petersburg University. Mathematics 1 Algebra Colloquium 1 Journal of Combinatorial Optimization 1 Algebras and Representation Theory 1 Lobachevskii Journal of Mathematics 1 Portugaliae Mathematica. Nova Série 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Number Theory 1 Complex Variables and Elliptic Equations
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#### Cited in 17 Fields

 68 Nonassociative rings and algebras (17-XX) 28 Associative rings and algebras (16-XX) 21 Number theory (11-XX) 15 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 8 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Combinatorics (05-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX)