Recent publications
J. A. Cuenca,
Structure of H*-algebras.
Enciclopedia of Algebra and Applications, vol, vol. 1, Chapter 5.
Edited by Abdenacer Makhlouf. To appear.
J. A. Cuenca and F. Miguel,
Commutative Nearly Absolute Valued Algebras with Square Roots.
Homology, Homotopy and its Applications 20(2), 207-216 (2018).
J. A. Cuenca and F. Miguel, On a Theorem by Hopf.
Linear Algebra and Applications., vol. 552 (2018), 42-51.
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J. A. Cuenca and F. Miguel,
On the Parametric Decomposition Theorem in Multiobjective Optimization,
J Optimiz Theory App vol 174, No. 3 (2017), 945-953.
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J. A. Cuenca,
Third-Power Asociative Absolute Valued Algebras with All Its Idempotents Pairwise
Flexible,
Mediterr. J. Math. vol. 14, No. 5, Art. 196 (2017), 14 pp.
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J. A. Cuenca,
On the structure of third-power associative absolute valued algebras,
B. Malays. Math. Sci. Soc. vol. 40, No. 3 (2017), 1135--1148.
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J. A. Cuenca,
A proof of Wedderburn's Theorem,
Algebra Colloq. vol. 22, No. 4 (2015), 603--606.
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J. A. Cuenca,
Third-power associative absolute valued algebras with a nonzero idempotent commuting
with all idempotents,
Publ. Mat. 58 (2015), 469--484.
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J. A. Cuenca,
Some classes of pre--Hilbert algebras with norm-one central idempotent,
Israel J. Math. 193(1) (2013), 343--358.
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J. A. Cuenca,
On the nonassociative extensions of an Ingelstam's theorem,
Proceedings of Jordan structures in Algebra and Analysis Meeting.
Tribute to El Amin Kaidi for his 60th birthday.
Edited by J. Carmona et al., Editorial Círculo Rojo, 2010. ISBN 978-84-92849-51-2.
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J. A. Cuenca, E. Darpo and E. Dieterich,
Classification of the finite dimensional absolute valued algebras
having a non-zero central idempotent
or a one-sided unity,
Bull. Sci. math. 134(3) (2010), 247--277
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J. A. Cuenca, On pre-Hilbert algebras.
Proceedings of the Royal Society of Edinburgh, 139A (2009), 303--319.
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J. A. Cuenca, On an Ingelstam's theorem.
Communications in Algebra , 35 (2007), 4057--4067.
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J. A. Cuenca, On composition and absolute-valued algebras.
Proceedings of the Royal Society of Edinburgh, 136A (2006),
717--731.
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J. A. Cuenca and E. Sánchez, Composition algebras algebras satisfying
certain identities, Journal of Algebra , 306 (2006), 634--644.
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J. A. Cuenca, Moufang H*-algebras. Extracta Mathematicae,
Núm. 2,
(2002), 239--246.
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J. A. Cuenca, On division algebras satisfying Moufang identities.
Communications in Algebra, Vol. 30, No. 11 (2002), 5199--5206.
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J. A. Cuenca, Composition algebras satisfying Moufang identities.
Communications in Algebra, Vol. 30, No. 12 (2002), 5891--5899.
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J. A. Cuenca, On infinite root systems.
Journal of Algebra ,
238 (2001), 669--683.
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J. A. Cuenca, A. Elduque and J. M. Pérez, Power associative
composition algebras
manuscripta math. 103 (2000), 75--90.
Supervised Ph.D. Thesis
Title: H*-álgebras de Jordan no conmutativas reales
Doctorate: Antonio Sánchez Sánchez
University: Universidad de Málaga
Faculty: Facultad de Ciencias
Date: 1989
Title: Sobre H*-sistemas triples
Doctorate: Alberto Castellón Serrano
University: Universidad de Málaga
Faculty: Facultad de Ciencias
Date: 1989
Title: Nuevas aportaciones en H*-teorías
Doctorate: Cándido Martín González
University: Universidad de Málaga
Faculty: Facultad de Ciencias
Date: 1990
Title: Algèbres non associatives normées de division et
classification des algèbres
réelles de
Jordan non commutatives de division linèaire de dimension 8 (supervised
jointly with A. Kaidi)
Doctorate: Abdellatif Rochdi
University: Université Mohammed V (Rabat)
Faculty: Faculté des Sciences
Date: 1994
Title: Órdenes Fountain-Gould en pares asociativos. Pares perfectos y semiperfectos (supervised
jointly with E. Sánchez)
Doctorante: Miguel Ángel Fortes Escalona
University: Universidad de Málaga
Faculty: Facultad de Ciencias
Date: 2000
Title: Contribuciones a la teoría de pares asociativos (supervised
jointly
with E. Sánchez)
Doctorate: Inmaculada de las Peñas Cabrera
University: Universidad de Málaga
Faculty: Facultad de Ciencias
Date: 2001