SOME REMARKS ON STRONG MORI DOMAINS

被引：0

作者：

Chung, Weonil ^{[1
]}

Ha, Jaecheol ^{[1
]}

Kim, Hwankoo ^{[1
]}

机构：

[1] Hoseo Univ, Dept Informat Secur, Asan 336795, South Korea

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2012年 / 38卷 / 04期

关键词：

Strong Mori domain; Eakin-Nagata Theorem; Cohen's Theorem; t-linked extension; w-module; (co-) semi-divisorial module; w-null module; NORMALIZING EXTENSIONS; INJECTIVE-MODULES; NOETHERIAN RINGS; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for an extension R C T of domains such that T is a w-finite type R-module, if R is a strong Mori domain, then so is T; and its converse, the Eakin-Nagata Theorem for strong Mori domains, holds true with an additional assumption on the extension. We also present a variant of Cohen's Theorem for strong Mori domains.

引用

页码：1051 / 1059

页数：9

共 42 条

[31] On the strong convergence and some inequalities for negatively superadditive dependent sequences [J].

Shen, Yan ;

Wang, Xuejun ;

Hu, Shuhe .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[32] STRONG TIME-PERIODIC SOLUTIONS TO CHEMOTAXIS-NAVIER-STOKES EQUATIONS ON BOUNDED DOMAINS [J].

Watanabe, Keiichi .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (11) :5577-5590

[33] Uniqueness to Some Inverse Source Problems for the Wave Equation in Unbounded Domains [J].

Hu, Guang-hui ;

Kian, Yavar ;

Zhao, Yue .

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 36 (01) :134-150

[34] Set relations and set systems induced by some families of integral domains [J].

Chiaselotti, G. ;

Infusino, F. ;

Oliverio, P. A. .

ADVANCES IN MATHEMATICS, 2020, 363

[35] Strong laws for weighted sums of some dependent random variables and applications [J].

Du, Menghuan ;

Miao, Yu .

FILOMAT, 2023, 37 (18) :6161-6176

[36] Some Existence Results for a Class of Kirchhoff Type Logarithmic Problems in Bounded Domains [J].

Wang, Yong-bin ;

Fan, Hai-ning .

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2025,

[37] Some properties for quaternionic slice regular functions on domains without real points [J].

Altavilla, Amedeo .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (01) :59-77

[38] Some New Results on the Strong Convergence of Fejer Means with Respect to Vilenkin Systems [J].

Persson, L-E ;

Tephnadze, G. ;

Tutberidze, G. ;

Wall, P. .

UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (04) :635-648

[39] Some Results About the Structure of Primitivity Domains for Linear Partial Differential Operators with Constant Coefficients [J].

Delladio, S. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)

[40] Some improved results on Berry-Esseen bounds for strong mixing random variables and applications [J].

Wu, Yi ;

Hu, Tien-Chung ;

Volodin, Andrei ;

Wang, Xuejun .

STATISTICS, 2023, 57 (03) :740-760

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