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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC)
(Institutional affiliation for the last research proposal)

Birthplace:
Itália

He obtained the bachelor in Mathematics at Università degli studi di Bari (Italy, 2006), master in Mathematics at Università degli studi di Bari (2008) and Ph.D. in Mathematics at Università degli studi di Bari (2011). He was a post-doc researcher at Bulgarian Academy of Sciences (Sofia, Bulgária) in 2011. Actually he is an Associate Professor at Universidade Estadual de Campinas (SP-Brazil). Has experience in Mathematics, focusing on Algebra, acting on the following subjects: polynomial identity algebras (PI-algebras) and co-structures (coalgebras, bialgebras, Hopf algebras). (Source: Lattes Curriculum)

Research grants

- Identities in (non) associative algebras and related themes, AP.R
### Abstract

We are going to work with algebras with polynomial identities both associative and non-associative. We shall also investigate on Hopf algebras action on Polynomial identities algebras and the consequences of such action on the identities. It is worth mentioning the generalized Hopf algebra action contains involutions and gradings by a group. Moreover we would like to investigate on Novi...

- Growth of algebras with polynomial identities, AP.R
### Abstract

One among the most interesting problems in the area of algebra is the Spechtproblem. In particular, in the case of PI-algebras, the Specht problem has thefollowing form: let A be a PI-algebra over F such that it is finitely generated, thenis it true that the T-ideal of A has a finite number of generators as a T-ideal? In afamous work, Kemer solved into affirmative the previous question ...

- Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras, AP.R
### Abstract

One among the most interesting problems in the area of algebra is the Specht problem. In particular, in the case of PI-algebras, the Specht problem has the following form: let A be a PI-algebra over F such that it is finitely generated, then is it true that the T-ideal of A has a finite number of generators as a T-ideal? In a famous work, Kemer solved into affirmative the previous quest...

Scholarships in Brazil

- SN - modules, BP.IC
### Abstract

The principal study of this research is the symmetric group Sn and its representations which can be couched in the language of modules. In this project we shall study R-modules. It is important to recall that modules are a generalization of the notion of vector space, i.e., we allow scalars to be elements of R, where R is an arbitrary ring. The importance of studying modules relies is i...

- Algebras in varieties of universal algebras, BP.MS
### Abstract

In this master's studies the beneficiary will continue aspects of the research found in the article "Zariski Closed Algebras in Varieties of Universal Algebra" of Belov-Kanel, Giambruno, Rowen and Vishne, concerning the research of Zariski closed algebras representable over an arbitrary integral domain using techniques from the theory of universal algebras.To better explain the concepts...

- Finitely presented algebras, and algebra growth, BP.IC
### Abstract

This project aim at studying the growth of finitely presented algebras. These are quotient algebras of the free algebra on the words of a finite set X, such that the ideal related to this quotient possesses a finite number of generators. We intend to define a notion of growth to these algebras and study their asymptotic behaviour. The study will be divided in some parts. First, the stud...

(Only some records are available in English at this moment)

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| Ongoing research grants |

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| Completed research grants |

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| Completed scholarships in Brazil |

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| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 10 |

Citations | 6 |

Cit./Article | 0.6 |

Data from Web of Science |

CENTRONE, LUCIO; MARTINO, FABRIZIO. A note on cocharacter sequence of Jordan upper triangular matrix algebra.** COMMUNICATIONS IN ALGEBRA**, v. 45, n. 4, p. 1687-1695, 2017. Web of Science Citations: 2. (15/08961-5, 13/06752-4)

CENTRONE, LUCID. THE G-GRADED IDENTITIES OF THE GRASSMANN ALGEBRA.** ARCHIVUM MATHEMATICUM**, v. 52, n. 3, p. 141-158, 2016. Web of Science Citations: 0. (15/08961-5, 13/06752-4)

CENTRONE, LUCIO; CIRRITO, ALESSIO. Y-proper graded cocharacters of upper triangular matrices of order m graded by the m-tuple phi = (0,0,1, ..., m-2).** Journal of Algebra**, v. 425, p. 546-562, MAR 1 2015. Web of Science Citations: 0. (13/06752-4)

CENTRONE, LUCIO; DE MELLO, THIAGO CASTILHO. On the factorization of T-G-ideals of graded matrix algebras.** BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY**, v. 59, n. 3, p. 597-615, SEP 2018. Web of Science Citations: 0. (15/08961-5, 13/06752-4, 12/16838-0)

CENTRONE, LUCIO. The GK dimension of relatively free algebras of PI-algebras.** Journal of Pure and Applied Algebra**, v. 223, n. 7, p. 2977-2996, JUL 2019. Web of Science Citations: 0. (15/08961-5, 18/02108-7)

CENTRONE, LUCIO; MARTINO, FABRIZIO; SOUZA, MANUELA DA SILVA. Specht property for some varieties of Jordan algebras of almost polynomial growth.** Journal of Algebra**, v. 521, p. 137-165, MAR 1 2019. Web of Science Citations: 1. (15/08961-5, 18/02108-7)

CENTRONE, LUCIO; SOUZA, MANUELA DA SILVA. On the growth of graded polynomial identities of sl(n).** LINEAR & MULTILINEAR ALGEBRA**, v. 65, n. 4, p. 752-767, 2017. Web of Science Citations: 0. (13/06752-4, 13/04590-7)

CENTRONE, LUCIO; TOMAZ DA SILVA, VIVIANE RIBEIRO. A note on graded polynomial identities for tensor products by the Grassmann algebra in positive characteristic.** INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION**, v. 26, n. 6, p. 1125-1140, SEP 2016. Web of Science Citations: 0. (15/08961-5, 13/06752-4)

CENTRONE, LUCIO; TOMAZ DA SILVA, VIVIANE RIBEIRO. On Z(2)-graded identities of UT2(E) and their growth.** Linear Algebra and its Applications**, v. 471, p. 469-499, APR 15 2015. Web of Science Citations: 1. (13/06752-4)

CENTRONE, LUCIO. Z(2)-Graded Gelfand-Kirillov dimension of the Grassmann algebra.** INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION**, v. 24, n. 3, p. 365-374, MAY 2014. Web of Science Citations: 2. (13/06752-4)

(References retrieved automatically from State of São Paulo Research Institutions)

TOLEDO, Guilherme Vicentin de. ('jota','ômega')-Álgebras e identidades polinomiais de álgebras representáveis Zariski-fechadas. Dissertação (Mestrado) - Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). (16/08708-0)

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