折向量空间

BROKEN VECTOR SPACE

本文首次提出折向量、折向量空间等概念,并讨论折向量与普通向量、折向量空间与向量空间之间的联系及区别。

In this paper we present the concepts of the special multi- plication of scalars,broken vectors and broken vetor space.Our first main result is that any vector alwas may be expressed in the multiplication of scalars,but any broken vector always may be expressed in the Special multiplication of scalars.Next we obtain that withowt further restrictions it is not true that the any list of n+1 broken vcetors of a broken vector space B of dimension n is linearly dependent.