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Multiplication Rings Via Their Total Quotient Rings

Published online by Cambridge University Press:  20 November 2018

Malcolm Griffin
Malcolm Griffin*
Affiliation:
Queen's University, Kingston, Ontario
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 430 - 449
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Gilmer, R. W., On a classical theorem of Noether in ideal theory, Pacific J. Math. 13 (1963), 579–583.Google Scholar
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3. Griffin, M. P., Valuations and Prufer rings, Can. J. Math. 26 (1974), 412–429.Google Scholar
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