Papers

List of publications

1. Graded Identities of Infinite Dimensional Lie Algebras   (with P. Koshlukov). In: Brešar, M., Geroldinger, A., Olberding, B., Smertnig, D. (eds) Recent Progress in Ring and Factorization Theory. Rings and Factorizations 2023. Springer Proceedings in Mathematics & Statistics, vol 477. Springer, Cham, 2025. (Chapter Book)

2. A generalization of Cayley-Hamilton algebras and an introduction to their geometries. (with C. Almeida and J. L. Galdino) Israel Journal of Mathematics, p. 1-39, 2024. (Qualis 2020: A2 – Scimago)

3. Jordan algebras of a degenerate bilinear form: Specht property and their identities (with F. Martino),  Journal of Algebra, V. 637, p. 193-229, 2024.  (Qualis 2020: A2 – Scimago)

4. Z-Graded identities of the Virasoro algebras. (with D. Diniz and P. Koshlukov),  Journal of Algebra, V. 640, p. 401-431, 2024.  (Qualis 2020: A2 – Scimago)

5. Characterization of the natural grading of the Grassmann algebra and its non-homogeneous Z2-gradings  (with A. Gomes, A. Guimarães and A. Grishkov),  Linear Algebra and its Application, v. 680, p. 93 - 107, 2024. (Qualis 2020: A2 – Scimago)

6. Z-gradings on the Grassmann algebra over infinite fields: graded identities and central polynomials. (with A. Guimarães), to appear International Journal of Algebra and Computation, v. 33, p. 1713 - 1735, 2023 (Qualis 2016: B1 – Scimago).

7. Z-Graded identities of the Lie algebras U1. (with P. Koshlukov), Journal of Algebra, v. 633, p. 668 - 695, 2023 (Qualis 2020: A2 – Scimago)

8. A note on Z-gradings on the Grassmann algebra and Elementary Number Theory. (with A. Guimarães and P. Koshlukov),  Linear & Multilinear Algebra, v. 71, Nº 7, p. 1244-1264, 2023. (Qualis 2017: A3 – Scimago)

9. Graded Identities and Central Polynomials for Verbally Prime Algebras. (with L. Bernardo, P. Koshlukov and D. Diniz), Algebras and Representation Theory, v. 26, p. 71-96, 2023. (Qualis 2020: A4 – Scimago)

10. Z-graded identities of the Lie algebras U_1 in characteristic 2 (with P. Koshlukov), Mathematical Proceedings of the Cambridge Philosophical Society, v. 174, p. 49-58, 2023. (Qualis 2020: A3 – Scimago)

11. Z–graded identities on the Grassmann algebra and Arithmetic tools: revisited. (alone) – paper dedicated to the 70th anniversary of Vesselin Drensky (International Conference “Trends in Combinatorial Ring Theory”), Turkish Journal of Mathematics, v. 46, p. 1814-1827, 2022. (Qualis 2020: B1 – Scimago)

12. Graded identities for algebras with elementary gradings over an infinite field (with P. Koshlukov and D. Diniz), Proceedings of the Edinburgh Mathematical Society, v. 65, p. 146-166, 2022. (Qualis 2020: A4 – Scimago)

13. Graded identities of M(E) and their generalizations over infinite fields. (alone), Linear Algebra and its Applications, v. 643, p. 258-280, 2022. (Qualis 2020: A2 – Scimago)

14. Z -gradings of full support on the Grassmann algebra. (with A. Guimarães and A. Brandão Jr.), Journal of Algebra, p. 332-353, 2022 (Qualis 2020: A2 – Scimago).

15. Graded identities for Kac–Moody and Heisenberg algebras with the Cartan grading. (with L. Macêdo and P. Koshlukov), Linear Algebra and its Applications, v. 638, p. 196-218, 2022. (Qualis 2020: A2 – Scimago)

16. Identities for the special linear Lie algebra with the Pauli and Cartan gradings. (with D. Diniz and F. Limeira), Israel Journal of Mathematics, v. 241, p 187 – 227, 2021. (Qualis 2020: A2 – Scimago)

17. Zq-graded identities and central polynomials of the Grassmann algebra. (with A. Guimarães and L. Dias), Linear Algebra and its Applications, v. 609, p. 12-36, 2021. (Qualis 2020: A2 – Scimago)

18. Graded involutions on block-triangular matrix. (with D. Diniz, D. Gonçalvez and F. Yasumura), Linear Algebra and its Applications, v. 585, p. 24-44, 2020. (Qualis 2020: A2 – Scimago)

19. Z2 and Z-graded central polynomials of the Grassmann algebra. (with A. Guimarães and P. Koshlukov), International Journal of Algebra and Computation, v. 30, No. 05, p. 1035-1056, 2020. (Qualis 2020: A4 – Scimago).

20. Graded isomorphisms on upper block triangular matrix algebras. (with A. Borges and D. Diniz), Linear Algebra and its Applications, v. 543, p. 92-105, 2018. (Qualis 2016: B1 – Scimago).

21. Embeddings for the Jordan algebra of a bilinear form. (with P. Koshlukov and D. Diniz), Advances in Mathematics, v. 337, p. 294-316, 2018. (Qualis 2016: A1 – Scimago).

22. Primeness property for graded central polynomials of verbally prime algebras. (with D. Diniz), Journal of Pure and Applied Algebra, v. 222, Issue 6, p. 1388-1404, 2018. (Qualis 2016: A1 – Scimago).

23. Identities and central polynomials for real graded division algebras. (with D. Diniz and S. Mota), International Journal of Algebra and Computation, v. 27, p. 935-952, 2017. (Qualis 2016: B1 – Scimago).
    
    
    

Accepted

1. Codimension growth and existence of PI exponent of pairs (associative algebra, vector space) (with P. Koshlukov and L. Macêdo) to appear in the Israel Journal of Mathematics in 2024. 

In submission

1. Trace identities for Special Jordan Algebras. (with P. Koshlukov and I. Shestakov)

2. Graded polynomial identities of Null-Filiform Leibniz Algebras. (with A. Borges and A. Guimarães)

3. Embedding theorems as a bridge between supertraces and supergeometry. (with L. Centrone and C. Almeida)

4. Superring extensions and fixed subalgebra structures. (with L. Centrone and C. Almeida)

5. Z-Graded identities of infinite dimensional Lie algebras in characteristic 2: Revisited. (with P. Koshlukov)

In progress

1. Trace identities for Albert Algebras. (with P. Koshlukov)

2. Embedding Problem for Quadratic Alternative Algebras. (with I. Shestakov)

3. Morita equivalence in the category of PI-(Super)Algebra. (with C. Almeida and L. Centrone)

4. A partial answer: Identities of the Lie Algebras U1 in characteristic 2 (with A. Muniz)