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A commutative ring R is called an AM-ring (for allgemeine multiplikationsring) if whenever A and B are ideals of R with A properly contained in B, then there is an ideal C of R such that A = BC. An AM-ring R in which is called a multiplication ring. Krull introduced the notion of a multiplication ring in , . Akizuki is responsible for the more general concept of an AM-ring in [l], but Mori has developed most of the structure theory for such rings in , , , , and . Andoi:10.2307/1993985 fatcat:eudliutf5neg3plyxkd3jzn77i