Abstract
Domains in which the star operations d (the trivial star operation) and w coincide have received a good deal of attention recently. These are exactly the domains D in which I=D whenever I is a finitely generated ideal of D with Iv=D. In this work, we study what happens when “finitely generated” is replaced by “two-generated.” It turns out that these are precisely the domains in which d=F, where F is a certain star operation closely connected to, but more complicated than, the w-operation.
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