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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.1999.tde-20210729-022924
Document
Author
Full name
Lúcia Satie Ikemoto Murakami
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1999
Supervisor
Title in Portuguese
A álgebra de multiplicações de uma álgebra de Bernstein
Keywords in Portuguese
Anéis E Álgebras Não Associativos
Abstract in Portuguese
Investigamos algumas relações entre uma álgebra de Bernstein A e sua álgebra de multiplicações M(A). Através de propriedades dessa álgebra, caracterizamos as álgebras normais, excepcionais e com núcleo nilpotente. Também estudamos propriedades das álgebras de Bernstein que são preservadas por isomorfismos de suas álgebras de multiplicações e comparamos os grupos de automorfismos de A e M(A). Analisamos a variação da dimensão de M(A) para cada álgebra de Bernstein A de tipo fixado e procuramos determinar o posto máximo dos elementos de M(A)
Title in English
not available
Abstract in English
We investigate some relations between a Bernstein algebra A and its multiplication algebra M(A). Using properties of these algebras, normal and exceptional algebras and algebras with nilpotent kernel are characterized. We also study properties of Bernstein algebras preserved by isomorphisms of their multiplication algebras and compare the automorphism groups of A and M(A). We analyze the variation of the dimension of M(A) for each Bernstein algebra A of fixed type and try to determine the maximum rank of elements of M(A)
 
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Publishing Date
2021-07-29
 
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