T-Ideal das matrizes de ordem 2 sobre um corpo finito

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T-Ideal das matrizes de ordem 2 sobre um corpo finito - Luis Luccas.pdf (323.97 KB)

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2025-08-22

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Universidade Federal de São Carlos

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Abstract

The goal of this dissertation is to study the necessary concepts of algebras and PI-algebras, with a focus on matrix algebras and algebras over finite fields. As the main result, we present the basis described by Mal’tsev and Kuz’min for the polynomial identities of the algebra of 2 × 2 matrices over finite fields.

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PI-álgebras , Identidades polinomiais , T-ideais , Matrizes sobre um corpo finito , Matrizes 2 × 2 sobre corpos finitos , PI-algebras , Polynomial identities , T-ideals , Matrices over a finite field , 2 × 2 matrices over finite fields

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LUCCAS, Luis Felipe dos Santos. T-Ideal das matrizes de ordem 2 sobre um corpo finito. 2025. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2025. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/22681.

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https://hdl.handle.net/20.500.14289/22681

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Attribution 3.0 Brazil
Except where otherwise noted, this item's license is described as Attribution 3.0 Brazil