Ernesto Spinelli

Pubblicazioni

Titolo Pubblicato in Anno
On minimal varieties of superalgebras with superautomorphism JOURNAL OF ALGEBRA 2024
On the factorability of the ideal of *-graded polynomial identities of minimal varieties of PI *-superalgebras JOURNAL OF ALGEBRA 2022
Group rings with metabelian unit groups JOURNAL OF PURE AND APPLIED ALGEBRA 2022
Group and Polynomial Identities in Group Rings Polynomial Identities in Algebras 2021
On the lower bound of the derived length of the unit group of a nontorsion group algebra ALGEBRAS AND REPRESENTATION THEORY 2020
Minimal varieties of PI-superalgebras with graded involution ISRAEL JOURNAL OF MATHEMATICS 2020
A characterization of minimal varieties of Z_p-graded PI algebras JOURNAL OF ALGEBRA 2019
Minimal superalgebras generating minimal supervarieties MATHEMATISCHE ZEITSCHRIFT 2018
Bounded Engel and solvable unitary units in group rings JOURNAL OF ALGEBRA 2018
Minimal supervarieties with factorable ideal of graded polynomial identities JOURNAL OF PURE AND APPLIED ALGEBRA 2016
Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES 2016
Group rings whose skew elements are bounded Lie Engel JOURNAL OF PURE AND APPLIED ALGEBRA 2015
Free groups with involution satisfying a *-group identity ARCHIV DER MATHEMATIK 2015
Lie identities on skew elements in group algebras Lie Algebras and Related Topics 2015
Problems on Lie properties of skew and symmetric elements in group rings Lie Algebras and Related Topics 2015

ERC

  • PE1_2

Interessi di ricerca

• Group and Polynomial Identities in Group Rings. 

• Asymptotic Methods and Representation Theory in the investigation of PI-Algebras endowed with an involution or a G-grading.

• Arithmetic of modular group algebras: computation of the principal Lie parameters and of the corresponding parameters for the unit group.

• Dimension and Lie dimension subgroups. Polynomial ideals in group rings and corresponding subgroups. Connections with the Modular Isomorphism Problem.

• Restricted Lie algebras. Lie properties of restricted universal enveloping algebras.

Progetti di Ricerca

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