1) Generalized direct-injective module
广义直内射模
1.
The injective modules and the flat modules play an important role in many parts of ring and categories of modules,so we introduce the notion of generalized direct-injective modules,rad-injective modules,and rad-flat modules and study theirs properties.
本文是对环与模范畴中重要的模类-内射模与平坦模的延拓,引入了广义直内射模、rad-内射模与rad-平坦模的概念,研究了它们的一系列性质,以及探讨了rad-内射模与rad-平坦模的一些联系,最后还用rad-平坦模刻画了一些常见的环。
2) generalized injective modules
广义内射模
1.
In the second part, we investigate generalized injective modules and obtained their several new properties.
第二章讨论了广义内射模，得到了广义内射模、广义R-内射模与内射模之间的联系。
3) generalized nearly injective module
广义nearly内射模
4) direct injective module
直内射模
1.
It is proved that R is Artinian semisimple if and only if there exists a cardinal c , so that every left R module is the direct sum of a direct projective module and a c limted ES module; if and only if there exists a cardinal c , so that every left R module is the direct sum of a direct injective module and a c limted ES module.
证明了环Ｒ是Ａｒｔｉｎ半单的当且仅当存在一个基数ｃ，使得任意左Ｒ－模是一个直投射模和一个ｃ－限制的ＥＳ－模的直和，也当且仅当存在一个基数ｃ，使得任意左Ｒ－模是一个直内射模和一个ｃ－限制的ＥＳ－模的直
5) injective module/direct injective module
内射模/直内射模
补充资料：直内
1.内廷值班的人。
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