Multiplication Rings Via Their Total Quotient Rings
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 430-449

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In the following paper ring will always mean commutative ring which may or may not have an identity. We use the letter N exclusively for nilpotents of the ring A.A ring such that, given any two ideals L and M with L ⊆ M there exists an ideal Q such that L = QM is called a multiplication ring. For references to early papers on multiplication rings by Krull and Mori the reader is referred to [2]. A ring in which every regular ideal is invertible is called a Dedekind ring.
Griffin, Malcolm. Multiplication Rings Via Their Total Quotient Rings. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 430-449. doi: 10.4153/CJM-1974-043-9
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