Mathematics (Feb 2020)

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

  • Hwankoo Kim,
  • Jung Wook Lim

DOI
https://doi.org/10.3390/math8020247
Journal volume & issue
Vol. 8, no. 2
p. 247

Abstract

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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.

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