Integral Domains in Which Every Nonzero w -Flat Ideal Is w -Invertible

Hwankoo Kim and Jung Wook Lim
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Hwankoo Kim: Division of Computer and Information Engineering, Hoseo University, Asan 31499, Korea
Jung Wook Lim: Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2020, vol. 8, issue 2, 1-11

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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