Question

Qutient of local ring is local

Answer 1

Answer:

what we have to do in this question

Answer 2

Answer:

I want to show: If R is local and I≠R an ideal, then R/I is also local.We already know: A Ring R is local if and only if R−R×={r∈R|r∉R×} is an ideal. We also know that if I is an maximal Ideal, R/I is a field.I have no idea how to show that other than using the above Lemma.

Step-by-step explanation:

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