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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.1993.tde-20210729-004319
Document
Author
Full name
Albertina Zatelli
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1993
Supervisor
Title in Portuguese
Elementos nilpotentes em aneis de loop alternativos
Keywords in Portuguese
Anéis E Álgebras Associativos
Abstract in Portuguese
Nesta tese consideramos problemas relacionados a nilpotencia em aneis de loop alternativos. No primeiro capitulo damos uma colecao de fatos sobre r.A. Loops (isto e, loops l que possuem anel de u de loop rl alternativo mas nao associativo para algum anel r de caracterisitica diferente de 2) e aneis de grupo que serao necessarios para desenvolver o trabalho nos demais capitulos. No capitulo ii, damos condicoes necessarias e suficientes para a existencia de elementos nilpotentes num anel de loop rl de um r.A. Loop l finito e, no capitulo iii, estendemos estes resultados para um r.A. Loop arbitrario. Finalmente, no capitulo iv, discutimos a nilpotencia do ideal de aumento de rl e de outros ideais relacionados. Na ultima seccao, tambem discutimos a existencia de ideais idem potentes em zl (sempre na situacao de que l e um r.A. Loop)
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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