1) weakly supplemented modules
弱补模
2) K-weakly supplemented modules
K-弱补模
3) kernel-weakly supplemented module
kernel-弱补模
1.
Let R be a V-ring and M a kernel-weakly supplemented module.
设R是V-环且M是kernel-弱补模,则M是kernel duo模当且仅当M是弱Duo模。
4) τ-co-weakly supplemented module
τ-余弱补模
1.
Mainly proved the following results: the classes of τ-co-weakly supplemented modules is closed under taking homomorphic images, direct sums when R is a τ-noetherian ring.
模M称为τ-余弱补模,如果对M的每一个τ-余有限子模都有τ-稠密弱补。
5) cofinitely generalized(weakly) supplemented modules
上有限广义补(弱补)模
1.
As proper generalizations of generalized(weakly) supplemented modules,concepts of cofinitely generalized(weakly) supplemented modules and cofinitely semilocal modules were introduced,and the related properties of cofinitely generalized(weakly) supplemented modules were given.
作为广义补(弱补)模的真推广,引入上有限广义补(弱补)模,上有限半局部模的概念,并给出上有限广义补(弱补)模的相关性质。
6) weak orthogonal complement
弱正交补
1.
By introducing first the concept of weak inner and weak orthogonal complement,we have testified the uniqueness of weak orthogonal complement and finally give the solving process for the homogeneous linear equations with the same solution space.
在一般的线性空间中引入弱内积,使之成为弱内积空间,再引入弱正交、弱正交补概念,证明了任何数域上的线性空间都是弱内积空间、任何弱内积空间的子空间都有唯一的弱正交补,揭示了齐次线性方程组的解空间与系数矩阵的行空间的对称性。
2.
By introducing first the concept of weak inner and weak orthogonal complement,we have testified the uniqueness of weak orthogonal complement and finally give the necessary and sufficient condition for the same solution of the homogeneous linear equations.
在一般的线性空间中引入弱内积,使之成为弱内积空间,再引入弱正交、弱正交补概念,证明了任何数域上的线性空间都是弱内积空间、任何弱内积空间的子空间都有唯一的弱正交补,并给出了齐次线性方程组同解的一个充分必要条件。
补充资料：补可去弱
补可去弱
补可去弱 用补益药物可以治疗虚弱病证。《汤液本草》卷上：“补可以去弱，人参、羊肉之属是也。”参见补剂、补法条。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条