机构:
King Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi ArabiaKing Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia
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.
机构:
Babes Bolyai UNIV, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, RomaniaBabes Bolyai UNIV, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, Romania
Breaz, Simion
Cimpean, Andrada
论文数: 0引用数: 0
h-index: 0
机构:
Babes Bolyai UNIV, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, RomaniaBabes Bolyai UNIV, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, Romania