Note on Colon-Multiplication Domains

A. Mimouni

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-4

Abstract:

Let R be an integral domain with quotient field L. Call a nonzero (fractional) ideal A of R a colon-multiplication ideal any ideal A , such that for every nonzero (fractional) ideal B of R. In this note, we characterize integral domains for which every maximal ideal (resp., every nonzero ideal) is a colon-multiplication ideal. It turns that this notion unifies Dedekind and MTP domains.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:231326

DOI: 10.1155/2010/231326

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