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Solved: (2) Determine, With Justification, Wether The Following Ideals Are Mal, Both, Prime, Maxi- Or Neither (?) (23 — 1) In Qx). (b) 7 In Q[x] (c) 3Z X 5Z In Z X Z. (d) (2a) In Zr]. (e) X) In Z[r]

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(2) Determine, with justification, wether the following ideals are mal, both, prime, maxi- or neither (?) (23 — 1) in Qx). (b



(2) Determine, with justification, wether the following ideals are mal, both, prime, maxi- or neither (?) (23 — 1) in Qx). (b) 7 in Q[x] (c) 3Z x 5Z in Z x Z. (d) (2a) in Zr]. (e) x) in Z[r]

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We use following theorems for solving. Problems. Theorem: - Let F be a field and let I be an ideal of polynomial ring F[x]. Then I is maximal leftrightdou

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