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<Text-field style="Heading 1" layout="Normal">injetivo,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">adj.</Font> <Font bold="true">1.</Font><Font encoding="UTF-8"> (de uma fun\303\247\303\243o, mapeamento, etc.) associando dois conjuntos de modo que diferentes membros do dom\303\255nio est\303\243o emparelhados com diferentes membros do </Font><Hyperlink linktarget="Dictionary:Definition/codomain" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">contradom\303\255nio</Font></Hyperlink><Font encoding="UTF-8">,embora nem todos os do \303\272ltimo precisam ser membros do </Font><Hyperlink linktarget="Dictionary:Definition/range" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">intervalo</Font></Hyperlink><Font encoding="UTF-8"> especificado; assim, na figura abaixo,  T \303\251 o contradom\303\255nio e T</Font><Font superscript="true">+</Font><Font encoding="UTF-8"> \303\251 o intervalo, de modo que o mapeamento de S para T</Font><Font superscript="true">+</Font><Font encoding="UTF-8"> (asim como aquele de S para T) \303\251 injetivo. Em alguns procedimentos, um mapeamento injetivo \303\251 chamado de um-para-um, mas este termo pode causar confus\303\243o, pois ele \303\251 usado tamb\303\251m para a bije\303\247\303\243o. Por exemplo, o mapeamento associando os filhos mais velhos ao pais \303\251 injetivo, mesmo quando todo contradom\303\255nio seja todos os homens; </Font><Font italic="true">f</Font>(<Font italic="true">x</Font>) = <Font italic="true">x</Font><Font superscript="true">2</Font><Font encoding="UTF-8"> n\303\243o \303\251 injetiva sobre os reais, j\303\241 que  </Font><Font italic="true">f</Font>(<Font italic="true">x</Font>) = <Font italic="true">f</Font>(<Font italic="true">-x</Font><Font encoding="UTF-8">), mas \303\251 injetiva sobre os n\303\272meros reais positivos. Compare </Font><Hyperlink linktarget="Dictionary:Definition/bijective" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">bijetiva</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/surjective" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">sobrejetiva</Font></Hyperlink><Font encoding="UTF-8">. Veja tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/monomorphism" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">monomorfismo</Font></Hyperlink>. 
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Um mapeamento injetivo de S para T<Font superscript="true">+</Font>.</Font></Text-field>
<Text-field style="Text" layout="Normal"> <Font bold="true">2.</Font> (de um <Hyperlink linktarget="Dictionary:Definition/R-module" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">m\303\263dulo-R</Font></Hyperlink><Font encoding="UTF-8"> \303\240 esquerda Q) possuindo a propriedade de sempre que existir um m\303\263dulo-R \303\240 esquerda A, com subm\303\263dulo B tal que exista um  </Font><Hyperlink linktarget="Dictionary:Definition/homomorphism" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">homomorfismo</Font></Hyperlink>  <Font italic="true">f</Font><Font encoding="UTF-8">  de B em Q, ent\303\243o, 
</Font>
<Font italic="true">f</Font>  pode ser estendido para um homomorfismo  <Font italic="true">g</Font> de A em Q.</Text-field>
</Worksheet>