if R is a commutative ring in which all the maximal ideals are finitely generated then R is Noetherian?

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It is well known that if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian. Is this also true for maximal ideals instead of primes:

if R is a commutative ring in which all the maximal ideals are finitely generated then is R Noetherian?