graduate at Bacharelado Em Matemática from Universidade de São Paulo (1971), master's at Mathematics from Universidade de São Paulo (1972) and ph.d. at Mathematics from Universidade de São Paulo (1974). Has experience in Mathematics, acting on the following subjects: loop, group ring, anel de grupo, grupo and loop ring. (Source: Lattes Curriculum)
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VISIT OF ANTONINO GIAMBRUNO04.03.2023 - 04.05.2023SUMMARYWe shall focus on problems regarding the study of the so-called fundamentalalgebras. These were introduced by Kemer and played a prominent role is in thetheory of varieties of algebras. In a previous joint work, these algebras were used asa tool for the computation of a common polynomial factor in the functions givingthe upper and l…
We intend to study the possible extensions of group codes to more generalones; specifically, to codes that can be realized as ideals of crossed products, a structure that extends the notion of group algebra. To do so, we expect tostudy the primitive idempotents of semisimple crossed products, determinetheir number and methods to exhibit such elements and also determine theparameters of th…
We intend to continue the research on non commutative rings and applications. The research group has been working in this direction for quitea long time and has already obtained expressive results that are frequently quoted in the literature. The subjects that will be the object of our research in the forth coming period are, among others: the structure of group algebras and its applicati…
Fundamental Algebras are algebras defined in terms of polynimial identities which are multialternating polynomials colled Kemer polynimials. Every finite dimensional algebra is PI-equivalent to a fundamental algebra. We intend to study finite dimensional algebras which are PI-equivalent to algebras whose central codiimensions are of polynimial growth. (AU)
We intend to conduce an extensive research, from the point of view of the Conceptual History of Mathematics, of the main work of Herman G. Grassmann, continuing the previous work of Prof. Flament, who is internationally known for his work in this subject. We expect to understand the point of wiew of Grassmann himself when planning this work, a matter so far neglected by contemporary resea…
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Let * be an involution of a group algebra KG induced by an involution of the group G. We define *-identities in groups analogous to *-identities in rings. In this research project we aim to relate the *-identities of the unit group of KG to the nilpotence of the Lie algebra of *-skew elements of KG.
A cyclic code, is a linear code such that if c = (c1, ..., cn) C then (cn, c1, ..., cn-1) C.If we denote by Cn the cyclic group of order n and by FqCn the group algebra of Cn over Fq, it is easy to see that every cyclic code can be accomplished as an ideal this algebra. This view has the advantage of allowingusing the group structure to determine the parameters of a code.Recently, A. Sh…
The study of generating sets for the group of units of group rings is a very active area nowadays. Particularly, in the case of integral group rings, the importance of this research can be compared to Dirichlet's Theorem, for algebraic integers.Unfortunately, there are not general results about generating sets of units for integral group rings. However the researchers have been studying …
| 3 / 3 | Ongoing research grants |
| 45 / 33 | Completed research grants |
| 8 / 3 | Completed scholarships in Brazil |
| 3 / 1 | Completed scholarships abroad |
| 59 / 40 | All research grants and scholarships |
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