Integral Domains in Which Every Nonzero <i>w</i>-Flat Ideal Is <i>w</i>-Invertible

Abstract

Let D be an integral domain and w be the so-called w-operation on D. We define D to be a w-FF domain if every w-flat w-ideal of D is of w-finite type. This paper presents some properties of w-FF domains and related domains. Among other things, we study the w-FF property in the polynomial extension, the t-Nagata ring and the pullback construction.

Keywords

• w-flat
• w-ff domain
• w-fp domain
• prüfer v-multiplication domain
• ff domain
• fp domain