4 find all of the ideals in each of the following rings which of these ideals are maximal and wh

Name: 4 find all of the ideals in each of the following rings which of these ideals are maximal and which are prime a z18 b z25 c mzr the 2 x 2 matrices with entries in r d m2z the 2 x 2 matrices 26274
Uploaded: 2023-03-09T12:40:37-08:00
Duration: 1 min 20 s
Channel: Adi S
Description: 4 find all of the ideals in each of the following rings which of these ideals are maximal and which are prime a z18 b z25 c mzr the 2 x 2 matrices with entries in r d m2z the 2 x 2 matrices 26274

Question

Adi S · Accepted Answer

a. For $mathbb{Z}_{18}$, the ideals are generated by the divisors of 18. The divisors of 18 are

Question

4. Find all of the ideals in each of the following rings. Which of these ideals are maximal and which are prime? a) Z18 b) Z25 c) M(R) - the 2 x 2 matrices with entries in R d) M2(Z) - the 2 x 2 matrices with entries in Z

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