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Note on Colon-Multiplication Domains

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  • A. Mimouni

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.

Suggested Citation

  • A. Mimouni, 2010. "Note on Colon-Multiplication Domains," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-4, September.
    • Handle: RePEc:hin:jijmms:231326
    DOI: 10.1155/2010/231326
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