Publications

Published papers

• 1. F. Martino, C. Rizzo, The 2x2-upper triangular matrix algebra and its generalized polynomial identities,  J. Algebra 666 (2025), pagg. 308 - 330.

  2. W. Q. Cota, A. Ioppolo, F. Martino, A. C. Vieira, On the colength sequence of G-graded algebras, Linear Algebra Appl. 701 (2024), pagg. 61 - 96.

  3. A. Ioppolo, F. Martino, Gradings and graded linear maps on algebras,  Forum Math., 2024, doi https://doi.org/10.1515/forum-2024-0098

  4. C. Fidelis, F. Martino, Jordan algebras of a degenerate bilinear form: Specht property and their identities, J. Algebra 637 (2024), pagg. 193 - 229.

  5. F. Martino, C. Rizzo, Differential identities and varieties of almost polynomial growth, Israel J. Math. 254 (2023), pagg. 243 - 274.

  6. F. Martino, On central polynomials and codimension growth, a survey dedicated to prof. Drensky on his 70th birthday, Turkish J. Math. 46 (2022), pagg. 1965 - 1974.

  7. D. La Mattina, F. Martino, C. Rizzo, Central polynomials of graded algebras: capturing their exponential growth,  J. Algebra 600 (2022), pagg. 45 - 70.

  8. A. Ioppolo, F. Martino, Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths, J. Pure Appl. Algebra 226 (2022).

  9. F. Martino, C. Rizzo, Growth of central polynomials of algebras with involution, Trans. Amer. Math. Soc. 375 (2022), pagg. 429 - 453.

  10. A. Ioppolo, F. Martino, On multiplicities of cocharacters for algebras with superinvolution,  J. Pure Appl. Algebra 225 (2021).

  11. F. Martino, Classifying algebras with graded involution or superinvolution with multiplicities of their cocharacter bounded by one, Algebr. Represent. Theory 24 (2021), pagg. 317 - 326.

  12. F. Martino, Varieties of special Jordan algebras of almost polynomial growth, J. Algebra 531 (2019), pagg. 184 - 196.

  13. L. Centrone, F. Martino, M. da Silva Souza, Specht property for some varieties of Jordan algebras of almost polynomial growth, J. Algebra 521 (2019), pagg. 137 - 165.

  14. A. Ioppolo, F. Martino, Classifying G-graded algebras of exponent two, Israel J. Math. 229 (2019), pagg. 341 - 356.

  15. A. Ioppolo, F. Martino, Superinvolutions on upper-triangular matrix algebras, J. Pure Appl. Algebra 222 (2018), pagg. 2022 - 2039.

  16. A. Ioppolo, F. Martino, Varieties of algebras with pseudoinvolution and polynomial growth, Linear Multilinear Algebra 66, n.ro 11 (2018), pagg. 2286 - 2304.

  17. L. Centrone, F. Martino, A note on cocharacter sequence of Jordan upper triangular matrix algebra, Comm. Algebra  45, n.ro 4  (2017), pagg. 1687 - 1695.

  18. A. Giambruno, A. Ioppolo, F. Martino, Standard polynomials and matrices with superinvolutions, Linear Algebra Appl. 504 (2016), pagg. 272 - 291.

  19.  D. La Mattina, F. Martino, Polynomial growth and star-varieties, J. Pure Appl. Algebra 220 (2016), pagg. 246 - 262.

  20.  A. Cirrito, F. Martino, Ordinary and graded cocharacter of the Jordan algebra of 2x2 upper triangular matrices, Linear Algebra Appl. 541 (2014), pagg. 246 - 259.

  21.  F. Martino, L'epicicloide: un viaggio tra la Storia e la Filosofia, Quaderni di Ricerca in Didattica - Science, Supplemento n.ro 5 (2013).

  22.  F. Martino, Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form, Linear Algebra Appl. 439 (2013), pagg. 4080 - 4089.

  23. P. Koshlukov, F. Martino, Polynomial identities for the Jordan algebra of upper triangular matrices of order two, J. Pure Appl. Algebra 216 (2012), pagg. 2524 - 2532.

Submitted papers and preprints

• 24. F. Martino, C. Rizzo, Multipliers, W-algebras and the growth of generalized polynomial identities,  submitted.

  25. G. Busalacchi, F. Martino, C. Rizzo, Generalized identities of superalgebras and polynomial growth, preprint.

  26. A. Ioppolo, D. La Mattina, F. Martino, Color involution in graded algebras: representability theorems and Specht property, submitted.