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Multiplication Ideals, Multiplication Rings, and the Ring R(X)

Published online by Cambridge University Press:  20 November 2018

D. D. Anderson
D. D. Anderson*
Affiliation:
University of Missouri, Columbia, Missouri
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Let R be a commutative ring with an identity. An ideal A of R is called a multiplication ideal if for every ideal B ⊆ A there exists an ideal C such that B = AC. A ring R is called a multiplication ring if all its ideals are multiplication ideals. A ring R is called an almost multiplication ring if RM is a multiplication ring for every maximal ideal M of R. Multiplication rings and almost multiplication rings have been extensively studied—for example, see [4; 8; 9; 11; 12; 15; and 16].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 760 - 768
Copyright
Copyright © Canadian Mathematical Society 1976

References

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