Banca de QUALIFICAÇÃO: TAMARA TAVARES DE MELO

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : TAMARA TAVARES DE MELO
DATE: 16/09/2022
TIME: 10:00
LOCAL: Google Meet
TITLE:

Gradings on the Grassmann algebra by the infinite cyclic group: identities and PI-equivalence

KEY WORDS:

Grassmann algebra, graded algebras, PI-equivalence

PAGES: 80
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

Let E be the infinite dimensional Grassmann algebra and Z be the infinite cyclic group. In the development of Kemer's Theory, algebra E plays a crucial role. It is important to mention that such algebra occurs in various contexts, such as Analysis, Geometry, in addition to PI-theory itself.

In recent years, abelian gradings on E and the respective graded identities have been addressed in several research articles, and it is still a very fertile topic at the research level. Therefore, the focus of our dissertation is to study recent results on gradings on E by the group Z. We will study results on the construction of graduations in E, graded identities, conditions for PI-equivalence and non-isomorphism, etc. We also intend to underline the correlation between this theme and Elementary Number Theory techniques.

COMMITTEE MEMBERS:
Presidente - 1143007 - ALAN DE ARAUJO GUIMARAES
Externo ao Programa - 2340150 - ALEXEY KUZMIN - nullInterno - 2147844 - ARKADY TSURKOV
Interna - 2425364 - ELENA ALADOVA