Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414450 | Journal of Algebra | 2015 | 21 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Evan Houston, Muhammad Zafrullah,