Banca de DEFESA: ENIO CARLOS DA SILVA LEITE

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : ENIO CARLOS DA SILVA LEITE
DATA : 19/08/2021
HORA: 10:00
LOCAL: https://meet.google.com/cvj-bkvh-owq?authuser=1
TÍTULO:

Polynomail identities fot the Jordan algebra of the upper triangular matrices of order 2

PALAVRAS-CHAVES:

Keywords: Jordan algebra; Graded algebra; Gradings polynomial identities.

PÁGINAS: 81
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Álgebra
RESUMO:

Let K be an infinity field and UJ2(K) the Jordan algebra of upper triangular matrices of order 2. Up to a graded isomorphism, the algebra UJ2(K) admits the following G-gradings: trivial, associative, classic, scalar and Klein. Based on [8], this work gives a proof that, up to a graded isomorphism, the only G-gradings of UJ2(K) are the aforementioned. Futhermore, we present a graded polinomial identities description of UJ2(K) for these gradings, and we also exhibit basis to gradings identities of UJ2(K) were K is a infinity field with characteristic different from 2 and from 3 in trivial grading case, and characteristic different from 2 in the other gradings.

MEMBROS DA BANCA:
Interna - 1033528 - MANUELA DA SILVA SOUZA
Externa ao Programa - 1272511 - ELEN DEISE ASSIS BARBOSA
Externa à Instituição - VIVIANE RIBEIRO TOMAZ DA SILVA - UFMG