证明左拟正规带范畴中张量积的存在性，并证明了它与半群张量积的关系，同时给出半格在左拟正规带范畴中张量积与在半格范畴中张量积之间的关系。

The existence of a tensor product is proved in the left quasi-normal band category, and the relationship with the tensor product in the semi-group category is provided.

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介绍了矩阵的一种新的运算-拟半张量积，并相应的引入了一系列新的概念及其性质。

The rank of matrix which two matrices act right semi-tensor product is given.

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