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Estudos sobre A-identidades polinomiais
(Universidade Federal de São Carlos, 2021-07-21)
The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...
Identidades polinomiais para a álgebra de Jordan das matrizes triangulares superiores 2x2
(Universidade Federal de São Carlos, 2021-10-28)
Let K be a field (finite or infinite) of char(K) ≠ 2, and let UTn = UTn(K) be the n x n upper triangular matrix algebra over K. If · is the usual product on UTn, then with the new product a ○ b = (1/2)(a·b + b·a), UTn ...