Researches

List of publications

  1. Graded Identities and Central Polynomials for Verbally Prime Algebras. (with L. Bernardo, P. Koshlukov and D. Diniz) – Algebras and Representation Theory, in press. (DOI – Qualis 2016: A2 – Scimago)
  2. Identities for the special linear Lie algebra with the Pauli and Cartan gradings. (with D. Diniz e F. Limeira), Israel Journal of Mathematics, to appear. (DOI – Qualis 2016: A1 – Scimago)
  3. Zq-graded identities and central polynomials of the Grassmann algebra. (with A. Guimarães e L. Dias), Linear Algebra and its Applications, v. 609, p. 12-36, 2021. (DOI – Qualis 2016: B1 – Scimago)
  4. 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. (DOI – Qualis 2016: B1 – Scimago)
  5. 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. (DOI – Qualis 2016: B1 – Scimago).
  6. 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. (DOI – Qualis 2016: B1 – Scimago).
  7. Embeddings for the Jordan algebra of a bilinear form. (with P. Koshlukov and D. Diniz), Advances in Mathematics, v. 337, p. 294-316, 2018. (DOI – Qualis 2016: A1 – Scimago).
  8. 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. (DOI – Qualis 2016: A1 – Scimago).
  9. 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. (DOI – Qualis 2016: B1 – Scimago).

In submission

  1. Z-gradings of full support on the Grassmann algebra. (with A. Guimarães e A. Brandão Jr.) – arXiv
  2. Z-Graded identities of the Lie algebras U1. (with P. Koshlukov)
  3. Z-Graded identities of the Lie algebras U1 in charK=2 (with P. Koshlukov)
  4. Graded Identities for algebras with elementary gradings over an infinite field (with P. Koshlukov and D. Diniz)
  5. A note between Z-gradings on E and elementary number theory (with A. Guimarães and P. Koshlukov)
  6. Jordan algebras of a degenerate bilinear form: Specht property and their identities (with F. Martino)
  7. Graded identities of M_n(E) and their generalizations over infinite fields. (alone)
  8. Z-Graded identities of the Virasoro algebras. (with D. DIniz and P. Koshlukov)

Preprints

  1. Trace identities for special Jordan algebras (with P. Koshlukov and I. Shestakov)
  2. Trace identities and Embedding problem for the octonions. (with I. Shestakov)
  3. Trace identities for Cayley and Albert algebras (with A. Elduque)
  4. Graded identities of some Kac-Moody algebras. (with L. Macêdo and P. Koshlukov)
  5. 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”)

In Progress

  1. Embedding theorems and Formal Smoothness associated for G-graded algebra (with C. Almeida and L. Galdino)
  2. Embedding theorems and Formal Smoothness associated for superalgebra (with C. Almeida and A. Vilela)
  3. Graded identities and central polynomials on the Grassmann algebra for Z-gradings of full support. (with A. Guimarães)

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