Publications

Articles

 

36. Bialgebra theory for nearly associative algebras and LR-algebras: equivalence, characterization, and LR-Yang-Baxter equation (with Saďd Benayadi and Carla Rizzo)

Linear Algebra Appl. 711 (2025), 84–125.

 

35. Nearly associative algebras (with Saďd Benayadi and Carla Rizzo)

J. Algebra 658 (2024), 821–868.

 

34. A Hua-type theorem for Cayley algebras (with Bruno Leonardo Macedo Ferreira and Douglas de Araujo Smigly)

Rend. Circ. Mat. Palermo, II. Ser 73 (2024), 2017–2036.

 

33. Multiplicative isomorphisms and derivations on axial algebras (with Bruno Leonardo Macedo Ferreira and Douglas de Araujo Smigly)

J. Pure Appl. Algebra 228 (2024), no. 12, Paper No. 107753, 27 pp.

 

32. Artin’s theorem on alternative rings (with Bruno Leonardo Macedo Ferreira and Douglas de Araujo Smigly)

Mediterr. J. Math. 21 (2024), no. 1, Paper No. 15, 18 pp.

 

31. Graded Lie-Rinehart algebras (with Antonio J. Calderón Martín, Rosa M. Navarro and José M. Sánchez D elgado)

J. Geom. Phys. 191 (2023), Paper No. 104914 16 pp.

 

30. Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs (with Hani Abdelwahab, Antonio J. Calderón Martín and José M. Sánchez Delgado)

Mathematics 11 (2023), no. 3, 12 pp.

(https://doi.org/10.3390/math11030725)

 

29. Quadratic symplectic Lie superalgebras with a filiform module as an odd part (with Saďd Benayadi, Rosa M. Navarro and José M. Sánchez Delgado)

J. Math. Phys. 64 (2023), no. 4, Paper No. 041703, 18 pp.

(Este artigo foi selecionado como “Editor’s Pick”).

 

28. The algebraic classification and degenerations of nilpotent Poisson algebras (with Hani Abdelwahab, Antonio J. Calderón Martín and Amir Fernández Ouaridi)

J. Algebra 615 (2023), 243–277.

 

27. The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four (with Hani Abdelwahab, Antonio J. Calderón Martín and Amir Fernández Ouaridi)

Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117 (2023), no. 1, Paper No. 11, 27 pp.

 

26. Leibniz algebras and graphs (with Antonio J. Calderón Martín, Samuel A. Lopes and José M. Sánchez Delgado)

Linear and Multilinear Algebra 71 (2023), No. 12, 1994–2007.

 

25. *-Lie-type maps on alternative *-algebras (with Aline Jaqueline De Oliveira Andrade and Bruno Leonardo

Macedo Ferreira)

J. Algebra Appl. 22 (2023), No. 6, Paper No. 2350130 14 pp.

 

24. On Lie superalgebras with a filiform module as an odd part (with Saďd Benayadi, Rosa M. Navarro and José M. Sánchez Delgado)

J. Lie Theory 32 (2022), no. 4, 917–936.

 

23. The classification of nilpotent Lie-Yamaguti algebras (with Hani Abdelwahab, Antonio J. Calderón Martín and Amir Fernández Ouaridi)

Linear Algebra Appl. 654 (2022), 339–378.

 

22. Odd-quadratic Lie superalgebras with a weak filiform module as an odd part (with Saďd Benayadi, Rosa M. Navarro and José M. Sánchez Delgado)

Linear Algebra Appl. 649 (2022), 22–46.

 

21. Split Lie-Rinehart algebras (with Helena Albuquerque, Antonio J. Calderón Martín and José M. Sánchez Delgado)

J. Algebra Appl. 20 (2021), no. 9, Paper No. 2150164, 22 pp.

 

20. Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras (with Helena Albuquerque, Saďd Benayadi, Mohamed Boucetta and José M. Sánchez Delgado)

J. Geom. Phys. 160 (2021), Paper No. 103939, 11 pp.

 

19. Leibniz superalgebras with a set grading (with Helena Albuquerque, Antonio J. Calderón Martín and José M. Sánchez Delgado)

J. Geom. Phys. 155 (2020), 103772, 13 pp.

 

18. On the structure of graded Lie algebras of order 3 (with Antonio J. Calderón Martín, Rosa M. Navarro and José M. Sánchez Delgado)

Colloq. Math. 162 (2020), no. 2, 245–262.

 

17. Coalternative coalgebras (with Helena Albuquerque, José M. Sánchez Delgado and Carlos Soneira Calvo)

Glasg. Math. J. 62 (2020), no. S1, S142–S164.

 

16. Leibniz triple systems admitting a multiplicative basis (with Helena Albuquerque, Antonio J. Calderón Martín and José M. Sánchez Delgado)

Comm. Algebra 48 (2020), no. 1, 430–440.

 

15. n-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis (with Antonio J. Calderón Martín, Ivan Kaygorodov and José M. Sánchez Delgado)

Algebr.Represent. Theory 22 (2019), no. 6, 1371–1386.

 

14. k-modules over linear spaces by n-linear maps admitting a multiplicative basis (with Ivan Kaygorodov and José M. Sánchez Delgado)

 Algebr. Represent. Theory 22 (2019), no. 3, 615–626.

 

13. On split regular Hom-Lie superalgebras (with Helena Albuquerque, Antonio J. Calderón Martín and José M. Sánchez Delgado)

J. Geom. Phys. 128 (2018), 1–11.

 

12. (G; _)-crossed product on (G; _)-quasiassociative algebras basis (with Helena Albuquerque and José M. Sánchez Delgado)

Algebra Discrete Math. 24 (2017), no. 1, 46–70.

 

11. The structure of Leibniz superalgebras admitting a multiplicative basis (with Helena Albuquerque, Antonio J. Calderón Martín and José M. Sánchez Delgado)

J. Geom Phys. 110 (2016), 259–268.

 

10. A new approach to Leibniz bialgebras (with Saďd Benayadi)

Algebr. Represent.Theory 19 (2016), no. 1, 71–101.

 

9. Homogeneous symmetric antiassociative quasialgebras (with Helena Albuquerque and Saďd Benayadi)

Comm. Algebra 42 (2014), no. 7, 2939–2955.

 

8. The TKK construction of a Cheng-Kac Jordan superalgebra of characteristic 3

Extracta Math. 26 (2011), no. 1, 131–143.

 

7. A universal enveloping algebra of Malcev superalgebras  

Port. Math. 68 (2011), no. 3, 259–278.

 

6. Derivations of the Cheng-Kac Jordan superalgebras (with Alberto Elduque and Consuelo Martínez)

J. Algebra 338 (2011), 144–156.

 

5 Odd-quadratic Malcev superalgebras.

Algebra Discrete Math. 9 (2010),no.2, 11–38.

 

4. Quadratic Malcev superalgebras with reductive even part (with Helena Albuquerque and Saďd Benayadi)

Comm. Algebra 38 (2010), no. 2, 785–797.

 

3. Odd-quadratic Lie superalgebras (with Helena Albuquerque and Saďd Benayadi)

J. Geom. Phys. 60 (2010), no. 2, 230–250.

 

2. Quadratic Lie superalgebras with a reductive even part (with Helena Albuquerque and Saďd Benayadi)

 J. Pure Appl. Algebra 213 (2009), no. 5, 724–731.

 

1. Quadratic symplectic Lie superalgebras and Lie bisuperalgebras (with Saďd Benayadi)

J. Algebra 321 (2009), no. 2, 582–608.

 

 

 

 

 

 

Preprints

3.  Universal enveloping algebras for simple Malcev algebras (with Sara Madariaga),

Preprint 10-32 of DMUC, 2010.

 

2.  Odd-quadratic Lie superalgebras (with Helena Albuquerque and Said  Benayadi),

Preprint 07-09 of DMUC, July 2007.

 

1.  Quadratic Lie superalgebras with reductive even part (with Helena Albuquerque and Said  Benayadi),

Preprint 07-08 of DMUC, July 2007.

 

 

 

Dissertations

2.  Quadratic Lie superalgebras and some problems on Lie bi-superalgebras, Phd Thesis, Universidade de Coimbra, 2007.

 

1.  Estabilidade de Aplicaçőes Harmónicas, Master Thesis, Universidade de Lisboa, 1997.

 

 


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