... category of functors 函子范畴 category of groups 群范畴 category of linear spaces 线性空间范畴 ...
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先进制造技术与现代高新技术相结合而产生了一个完整的技术群，它是具有明确范畴的新的技术领域，是面向21世纪的技术。
Advanced manufacturing technology and modern hi-tech combination and produced a complete technical group, it is a clear new technical fields in the category of, is a 21st century technology.
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.
同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
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