Weak-Injective Modules of Weak Dimension at Most One

Weak-Injective Modules of Weak Dimension at Most One
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DOI:
10.1080/00927872.2010.535049
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发表时间:
2011-11
影响因子:
0.7
通讯作者:
Sang Bum Lee
Sang Bum Lee
中科院分区:
数学3区
文献类型:
--
作者:
Sang Bum Lee

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我们考虑整环R上的模,主要目的是证明在弱维≤1的R-模上假设的某些模性质意味着这些性质被R-模范畴中的所有模所共享。并证明了涉及弱维≤1的模的几个结果。
We consider modules over integral domains R. A main purpose is to show that certain module properties assumed on R-modules of weak dimension ≤1 imply that these properties are shared by all modules in the category of R-modules. Also we prove several results involving modules of weak dimension ≤1.