Exemplos de T-espaços e T-ideais infinitamente gerados

Let F be a field of characteristic p ≥ 3. Denote by F0(X) and F1(X) the free associative algebras without and with unity, respectively, freely generated by the infinite set X. In this dissertation we study T-spaces and T-ideals infinitely generated. In [2] the mathematicians Aladova and Kr...

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Detalles Bibliográficos
Autor: Urure, Ronald Ismael Quispe
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal de São Carlos (UFSCAR)
Repositorio:Repositório Institucional da UFSCAR
Idioma:portugués
OAI Identifier:oai:repositorio.ufscar.br:20.500.14289/5908
Acceso en línea:https://repositorio.ufscar.br/handle/20.500.14289/5908
Access Level:acceso abierto
Palabra clave:Álgebra
T-ideal
T-espaço
Specht, Problema de
Grassmann, Álgebra de
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:Let F be a field of characteristic p ≥ 3. Denote by F0(X) and F1(X) the free associative algebras without and with unity, respectively, freely generated by the infinite set X. In this dissertation we study T-spaces and T-ideals infinitely generated. In [2] the mathematicians Aladova and Krasilnikov exhibited in F0(X) a T-ideal infinitely generated that contains the polynomial x2p. In [9], the mathematicians Goncalves, Krasilnikov and Sviridova exhibited in Fi(X) limits T-spaces when F is infinite. The objective of this dissertation is to study the results of the two papers cited above.