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Find all maximal ideals ina. Z 8.b. Z 10.c. Z 12.d. Z n.

Chapter 14, Problem 6E

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QUESTION:

Find all maximal ideals in

a. \(Z_{8^\cdot}\)

b. \(Z_{10^\cdot}\)

c. \(Z_{12^\cdot}\)

d. \(Z_{n^\cdot}\)

Questions & Answers

QUESTION:

Find all maximal ideals in

a. \(Z_{8^\cdot}\)

b. \(Z_{10^\cdot}\)

c. \(Z_{12^\cdot}\)

d. \(Z_{n^\cdot}\)

ANSWER:

Step 1 of 4

a.)  

So clearly  is maximal ideal.

{ Cannot be maximal since it is contained in  and  cannot be maximal since equivalent to }

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