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.
本文用相干态方法导出了相干态直积空间中的一类置换算符，给出了它们的正规序形式和显式形式，并讨论了置换算符的一些性质。
A kind of permutation operators in the direct product space of coherent-states isderived in terms of the coherent-state method.
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