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

by Hwankoo Kim 1 and Jung Wook Lim 2,*
1
Division of Computer and Information Engineering, Hoseo University, Asan 31499, Korea
2
Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 41566, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 247; https://doi.org/10.3390/math8020247
Received: 11 January 2020 / Revised: 7 February 2020 / Accepted: 7 February 2020 / Published: 14 February 2020
(This article belongs to the Special Issue Algebra and Discrete Mathematics 2020)
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 w-flat; w-FF domain; w-FP domain; Prüfer v-multiplication domain; FF domain; FP domain
MDPI and ACS Style

Kim, H.; Lim, J.W. Integral Domains in Which Every Nonzero w-Flat Ideal Is w-Invertible. Mathematics 2020, 8, 247.

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