On some flatness properties over commutative rings

被引：3
|
作者：
Cheniour, F. [1 ]
Mahdou, N. [1 ]
机构：
[1] Univ SM Ben Abdellah Fez, Fac Sci & Technol Fez, Dept Math, Fes, Morocco
来源：
ACTA MATHEMATICA HUNGARICA | 2015年 / 146卷 / 01期
关键词：
PMF-ring; P-flat module; direct product; homomorphic image; amalgamation of rings; A x I; trivial extension; TORSION-FREE MODULES; AMALGAMATED DUPLICATION; PRUFER CONDITIONS; IDEAL;
D O I：
10.1007/s10474-015-0495-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the class of rings in which every P-flat module is flat. In domains this property characterizes Prufer domains. We investigate the preservation of this property under localization, homomorphic image, direct product, amalgamation, and trivial ring extension. Our results yield examples which enrich the current literature with new and original families of rings that satisfy this property.
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页码：142 / 152
页数：11
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