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98年 - 98 淡江大學 轉學考 代數#55938
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(b) (5 points) Let a,b and c bo, intege.vs. If a and c arc relatively prime, show that, c | ab itnplies that- c | b.
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【已刪除】(b) such that
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【已刪除】(c)
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.3. (15 points) (a) Construct a field F over Q such l-hal; x7 +2x + 2 has a root, in F. Find the degree of extension of F over Q.
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(h) Construct a finite field of 27 eloinctits.
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