Identidades polinomiais graduadas para a álgebra das matrizes triangulares superiores sobre um corpo finito
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Let K be a field of characteristic p and let UTn = UTn(K) be the algebra of n x n upper triangular matrices over K with the usual product a . b of the elements a,b ∈ UTn. In this thesis we describe the set of all G-graded polynomial identities of UTn, where G is any group and K is any finite field. The vector space UTn with the new product [a,b] = a . b - b . a is a Lie algebra, denoted by UTn^(-). We describe the set of all G-graded polynomial identities of UT2^(-), where G is any abelian group and K is any field with characteristic p ≠ 2.
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