On Weakly Hereditary Rings

被引:0
|
作者
Almahdi, Fuad Ali Ahmed [1 ]
机构
[1] King Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia
来源
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2014年 / 46卷 / 02期
关键词
Dedekind domain rings; hereditary rings; weak hereditary rings; trivial ring extensions; subring retracts; pullback constructions; direct product of rings;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define a particular case of hereditary rings called weak hereditary rings. A sufficient condition for a weak hereditary be hereditary is given. We investigate the transfer of this notion in homomorphic image of rings, amalgamated duplication of a ring along a proper ideal, subring retracts, direct product of rings, and in trivial ring extensions. For the pullback constructions, we give an example showing that the transfer does not hold.
引用
收藏
页码:63 / 68
页数:6
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