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102年 - 102 淡江大學 轉學考 代數#53069
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題組內容
6. (20 pts)
(b) Let R be the quotient ring Z
5
[x]/ (x
3
+x + 1). How many elements are there in R1 Is R a field? Please justify your answer
其他申論題
(a) Prove that every finite integral domain is a field.
#193079
(b) Give an example of an integral domain which is not a field.
#193080
5. (12 pts) Show that the principal ideal (x — 1) in Z[x] is prime but not maximal. .
#193081
(a) Show that x3 + x + 1 is irreducible in Z5 [x].
#193082
【已刪除】1 求極限
#193084
【已刪除】2.若a, b是兩實數使得定積分,最大,求b — a。
#193085
【已刪除】3.求定積分
#193086
4.求函數 f(x) - (x2 + l)sinx;的微分。
#193087
【已刪除】5.求極限
#193088
【已刪除】6.求不定積分
#193089