Derivações Sobre Anéis Polinomiais e Polinômios de Darboux

Wálmisson Régis de Almeida; Marcelo Oliveira Veloso

Derivações Sobre Anéis Polinomiais e Polinômios de Darboux

Wálmisson Régis de Almeida, Marcelo Oliveira Veloso

Resumo

Este trabalho é uma breve revisão bibliográfica sobre as derivações em anéis polinomiais e os polinômios de Darboux. Apresenta diversos resultados básicos da teoria de forma detalhada e vários exemplos, com a pretensão de servir como texto suplementar aos estudantes que desejam dar os primeiros passos no tema. Além disso, apresentamos a dedução detalhada de dois resultados relevantes: a caracterização dos polinômios de Darboux lineares de qualquer derivação linear em n variáveis e a confirmação que toda derivação homogênea em duas variáveis tem polinômio de Darboux.

Palavras-chave

Matemática

Texto completo:

PDF

Revista Ciências Exatas e Naturais - RECEN. Universidade Estadual do Centro-Oeste - UNICENTRO/PR, BRASIL.

Licenciada sob uma Licença Creative Common

ISSN 2175-5620 ON LINE; 1518-0352 IMPRESSO

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9,25 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Lexer/DOMLex.php

18,81 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Lexer/DirectLex.php

506 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/Composite.php

516 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/Core.php

12,72 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/FixNesting.php

22,49 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/MakeWellFormed.php

8,31 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/RemoveForeignElements.php

1,01 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Strategy/ValidateAttributes.php

2,90 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/TagTransform/Font.php

952 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/TagTransform/Simple.php

509 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/Comment.php

1,67 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/Tag.php

136 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/Empty.php

440 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/End.php

136 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/Start.php

1014 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/Token/Text.php

820 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/DisableExternal.php

361 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/DisableExternalResources.php

263 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/DisableResources.php

833 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/HostBlacklist.php

4,24 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/MakeAbsolute.php

2,09 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/Munge.php

1,23 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIFilter/SafeIframe.php

3,37 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/data.php

1,03 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/file.php

1,35 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/ftp.php

392 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/http.php

233 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/https.php

664 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/mailto.php

484 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/news.php

403 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/URIScheme/nntp.php

4,25 kB /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/VarParser/Flexible.php

669 bytes /var/www/revistas/lib/pkp/lib/htmlpurifier/library/HTMLPurifier/VarParser/Native.php

5,33 kB /var/www/revistas/cache/t_compile/%%12^12D^12D5F8E4%%comments.tpl.php

635 bytes /var/www/revistas/lib/pkp/lib/smarty/plugins/modifier.default.php

7,24 kB /var/www/revistas/cache/t_compile/%%CC^CCB^CCBBF62B%%footer.tpl.php

`0` Logs	`0` Errors
`1` Memory	`1` Speed

memory	266,59 kB string: PKPApplication::construct
speed	0.029 ms PKPApplication::construct

Derivações Sobre Anéis Polinomiais e Polinômios de Darboux

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