一类无穷多子空间的统一证法  

A unified proof approach for aclass of infinitely multi-subspaces

作　　者：武全胜[1] WU Quan-sheng(Department of Mathematics and Computer Science,Chaoyang Teachers College,Chaoyang Liaoning 122000)

机构地区：[1]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000

出　　处：《辽宁师专学报（自然科学版）》2023年第1期1-3,50,共4页Journal of Liaoning Normal College(Natural Science Edition)

基　　金：2022年度朝阳师专教育教学能力提升项目(2022TSJG016)。

摘　　要：针对高等代数课程线性空间的理论部分,解决了其中经常出现的一类无穷多子空间存在性问题.利用两组具有相同个数的向量组等价的充要条件来解决这类问题,方法更简便,结论更直观.所提方法统一地证明了一类无穷多子空间存在的问题,通过对比其他方法,更突显此方法的便捷性.For the theoretical part of linear space of advanced algebra,the existence problems occurring frequently for a class of an infinite number of subspaces have been solved.The necessa-ry and sufficient conditions for the equivalence of two groups of vectors with the same number-were used to solve such problems,and themethod is simpler and the conclusion is more intuitive.The proposed method uniformly proved the existence problems of infinitely multi.subspaces.By comparing with other methods,the convenience of this method is highlighted.

关 键 词：高等代数 线性空间 线性无关 

分 类 号：O151.2[理学—数学]