3) surjective
[sə:'dʒektiv]
满射
1.
The authors obtained some sufficient and necessary conditions of surjective Toeplitz operators,through investigating the symbol of Toeplitz operator.
通过对Toeplitz算子符号的考察,作者得到了满射Toeplitz算子的一些充分和必要的条件,并对某些特殊情形作了详细的刻划,推广了MichaelSand的一个结果。
2.
In the first part of this paper, we got some sufficient and necessary conditions about surjective Toeplitz operators, through investigating symbol of Toeplitz operator via J.
Bourgain分解定理对Toeplitz算子的符号的考察,得到了一些Toeplitz算子满射的充分必要条件。
4) full mapping
满射
1.
It expounds the calculting formulas of single mapping and full mapping and explains their application in solving the problem of permutations and combinations.
本文用映射的观点对排列组合问题进行了分析与思考 ,论述了单射个数与满射个数的计算公式及其在一些排列组合问题中的应
5) onto mapping
满映射
1.
Then this paper demonstrates that under certain conditions, there exist in ψ(X) some interior points; ψ(X) is an open set; ψ is an onto mapping and also an open mapping.
设Ψ是线性赋范空间X→X的算子,本文研究了在某些条件下,Ψ(X)存在内点、Ψ(X)为开集、Ψ为满映射及Ψ为开映射。
6) homomorphism
[英][,həumə'mɔ:fizəm] [美][,homə'mɔrfɪzəm]
同态满射
1.
This article proves that in the homomorphism of G onto ■,the inverse image of a maximal normal subgroup in ■ is also a maximal normal subgroup in G.
本文得到了在同态满射下,极大正规子群的逆象也是极大正规子群,并给出了极大正规子群的象也是极大正规子群的一些等价条件。
2.
This article proved that in the homomorphism of G onto H, the inverse image of a maximal ideal in H is also a maximal ideal in G.
得到了同态满射下,最大理想的逆象是最大理想,并给出了最大理想的象也是最大理想的一些等价条件。
补充资料:满射
满射
surjection git surjective mapping
满射[刘既。扣或surjeetiveff只pp吨;cIO匹eK”“,」,集合A到集合B上的 映射f满足f(A)二B,即满足对每一boB存在aoA,使得f(a)=b.既可以说“f是满射”,也可以说“f是从A到B上的映射”. 0 .A.物aHosa撰[补注]亦见单射(injeet沁n);一一映射(b石eetion);集合的置换(pen力utation of a set)·赵希顺译
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