Integral domains in which every nonzero w-flat ideal is w-invertible

Hwankoo Kim; Jung Wook Lim

doi:10.3390/math8020247

Integral domains in which every nonzero w-flat ideal is w-invertible

Hwankoo Kim, Jung Wook Lim

Hoseo University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	247
Journal	Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3390/math8020247
State	Published - 1 Feb 2020

Keywords

FF domain
FP domain
Prüfer v-multiplication domain
W-FF domain
W-flat
W-FP domain

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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.",

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N2 - 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.

AB - 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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KW - FP domain

KW - Prüfer v-multiplication domain

KW - W-FF domain

KW - W-flat

KW - W-FP domain

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ER -

Integral domains in which every nonzero w-flat ideal is w-invertible

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Keywords

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