FENG Zhixin.The generalized affine linear correlation of sequence group[J].Journal of Yanbian University,2017,43(02):110-112.
数列组的强广义仿射线性相关性
- Title:
- The generalized affine linear correlation of sequence group
- Keywords:
- sequence group; strongly generalized affine linear correlation; strongly affine linear correlation; strongly generalized affine equivalence; strongly affine equivalence
- 分类号:
- O151
- 文献标志码:
- A
- 摘要:
- 推广和加强了数列组的广义线性相关性、数列组之间的广义等价等概念,给出了数列组的强广义仿射线性相关、数列组之间强广义仿射线性表出和强广义仿射等价的概念.通过探讨这些概念之间的关系,得到一些判断数列组的强广义仿射线性相关性与强仿射线性相关性的充分与必要条件,同时给出了几个性质定理; 最后用一个反例,证明了强广义仿射线性表出和强仿射线性表出不具有传递性.
- Abstract:
- In this paper, we generalize and reinforce the concepts of the generalized linear correlation of sequence group and the generalized equivalence between sequence groups, and we also present the concepts of the strongly generalized affine equivalence and strongly affine equivalence between several sequence groups, then we discuss their relationship and obtain some judgement and property theorems. Finally, a counter example is used to illustrate whether the strongly generalized affine linear representation and the strongly affine linear representation have transitivity.
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备注/Memo
收稿日期: 2017-04-28 作者简介: 冯志新(1979—),女,副教授,研究方向为基础数学.
基金项目: 国家自然科学基金资助项目(71501082); 四平市科技局项目(2014064)