Show that the set B in the latter half of the proof of
Chapter 14, Problem 25E(choose chapter or problem)
Show that the set B in the latter half of the proof of Theorem 14.4 is an ideal of R. (This exercise is referred to in this chapter.)
Theorem 14.4 R/A Is a Field If and Only If A Is Maximal
Let R be a commutative ring with unity and let A be an ideal of R. Then R/A is a field if and only if A is maximal.
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