direct sum meaning in English
直和
直接和
直接求和
Examples
- Direct sums and sublattices of generalized - continuous lattices
广义连续格的子格与直接和 - In this paper , the orthomorphisms on the archimedean riesz space r " with the usual coordinatewise ordering are characterized . also , the direct sum decomposition of an order bounded operator with respect to the orthomorphisms is obtained
本文首先刻画了n维欧氏空间r ~ n按通常的偏序做成的阿基米德riesz空间上正交射的特征，以此可对r ~ n上序有界算子作关于正交射的直和分解。 - Based on upper ( lower ) homomorphisms , we introduce and investigate upper ( lower ) sublattices as well as direct sums of generalized - continuous lattices . the motive is to use them instead of traditional congruence lattices as a new tool of structure problems
基于上、下同态，引进和研究广义连续格的上、下子格以及直接和诸概念，其目的是用它们取代传统的同余格作为研究结构问题的新工具。 - Include : direct sum code , cartesian product co de , tensor product code , extend hamming code ; and 7 - th part , we summarize the total paper , and put forward some problem which should be solved in perhaps development direction in the future . in the paper , main results gather in the 3 - rd , 4 - th , 5 - th , 6 - th part
第七章对全章作了一个总结，并对未来可能的发展方向提出了一些有待研究的问题。本文的主要结果集中在第三章、第四章、第五章、第六章。 - As the generalization of lifting modules , in section three , the conception of x - lifting module are defined and we study the sufficient condition for the direct sum of two x - lifting modules is x - lifting module . as the corollary , the sufficient condition that the direct sum of two lifting modules is lifting module is obtained . in section four and five , the conceptions of fi - lifting modules , ssrs - modules and weak lifting modules are introduced , which also generalized the lifting modules , and we study their basic properties such as direct sum , direct summand etc
在第二部分中，通过引入相对co - ojective模的概念，我们给出了两个提升模的直和仍是提升模的又一个充分条件，得到了一系列与扩张模相对偶的结论，作为提升模的推广，在第三部分中引入了x -提升模的概念，讨论了两个x -提升模的直和仍是x -提升模的充分条件，作为推论可得到两个提升模的直和仍是提升模的充分条件，在第四部分和第五部分中分别引入了fi -提升模， ssrs -模和弱提升模的概念，从三个不同方面推广了提升模，并讨论了这些模的基本性质，如直和，直和因子等。