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 B(A:B)=A 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.
| Original language | English |
|---|---|
| Article number | 231326 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 2010 |
| DOIs | |
| State | Published - 2010 |
ASJC Scopus subject areas
- Mathematics (miscellaneous)
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