中文摘要：

通过矩阵的半张量积与多重线性代数之间的联系及张量与矩阵之间的乘法运算规则,将逻辑算子的矩阵表示方法推广到了逻辑算子的张量表示方法,这为多重线性代数完善半张量积理论提供了一个重要途径,同时,由推导过程可知半张量积也为研究多重线性代数中的运算规则提供了一个新工具.

英文摘要：

This paper using the relationship between semi‐tensor product of matrices and multiple linear algebra ,and the multiplication rule of tensor and matrices .T he matrix representation of logical operator method is extended to the tensor representation of logical operator ,which provides an important way to improve the semi‐tensor product multilinear algebra theory .Meanwhile ,from the derivation process of semi‐tensor product for the research of multiple linear algebra operation rules provides a new tool .