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Los enteros módulo n
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Consideremos Z/7Z (los enteros módulo 7). Asigna cada número a la clase a la que pertenezca:
*
35 points
[0]
[1]
[2]
[3]
[4]
[5]
[6]
43
108
19
78
215
[0]
[1]
[2]
[3]
[4]
[5]
[6]
43
108
19
78
215
Consideremos Z/8Z (los enteros módulo 8). Determina a qué es igual cada suma o producto:
*
42 points
[0]
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[56]+[15]
[7]+[19]
[14]+[8]
[27]*[21]
[17]*[8]
[12]*[13]
[0]
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[56]+[15]
[7]+[19]
[14]+[8]
[27]*[21]
[17]*[8]
[12]*[13]
Elige las afirmaciones correctas:
*
23 points
Z/kZ (los enteros módulo k) es un anillo conmutativo con 1 para todo k entero.
En Z/5Z (los enteros módulo 5), [31] es el inverso aditivo de [1].
En Z/8Z (los enteros módulo 8), [60]=[184].
En Z/9Z (los enteros módulo 9), [23] es el inverso aditivo de [4].
En Z/7Z (los enteros módulo 7), [27]=[76].
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