We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.
然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。
According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.
依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。
In this paper, we have discussed root subspace decomposition of linear space, and for the linear space have decomposed direct sum of root subspace, a primary proof is given.
文章讨论了线性空间的根子空间分解，并对线性空间分解成根子空间的直和给出了较为初等的证明。
This paper presents that the sum of the value register of linear transformation and thenucleus is a full and necessary condition for direct sum, and from which five inductions are obtained.
给出了线性变换的值域与核的和是直和的充要条件，并由此得到五个推论。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
It is proved that the (a, b) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces.
证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。
It is proved that the (a, b) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces.
证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。
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