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Uma introdução às identidades funcionais sobre a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2016-02-23)
The subject treated in this dissertation is functional identities (FI) of a especific ring. We present concepts, examples and some results involving the themes: standard solution of a FI, strong degree of a ring, strongly ...
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 ...