最后讨论了张量积代数的本性换位。
Finally, the essential commutant of tensor product of operator algebras is discussed.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
SCARA运动学的研究中，以旋量，李群李代数为基础的POE指数积法求解运动学正解，逆解以及速度雅可比。
In the study of SCARA's kinematics, POE is used to obtain positive, inverse and jacobian solution, based of screw, Lie groups and Lie algebra.
通过研究双对称代数的对偶结构，主要讨论双对称余代数的张量积及双对称代数和双对称余代数之间的对偶关系。
The tensor products of double-symmetric coalgebras and the dual relationships between double-symmetric algebras and double-symmetric coalgebras are discussed.
第一章是向量代数，主要介绍向量的线性运算、向量的内积、向量的外积、向量的混合积和双重外积。
The first chapter is about vector algebra, introduces the vector of linear operations, inner product of vectors, vector outer product, vector product and double mixed exterior product.
用泛性质定义了BCI -代数的直积，并证明了直积的存在性和唯一性。
The concept direct products of BCI-Algebra by using the universal property is introduced and uniqueness and existence of direct products of BCI-Alegbra are also proved.
还证明了很多有限次代数数域不与上述的超积初等等价。
Also, it is proved that many algebraic number fields of finite degree are not elementarily equivalent to the above-mentioned ultraproducts.
而且它关于商，归纳极限，与AF -代数做张量积等运算是封闭的。
It is closed under quotients, inductive limits and tensor products with AF-algebras.
而且它关于商，归纳极限，与AF -代数做张量积等运算是封闭的。
It is closed under quotients, inductive limits and tensor products with AF-algebras.
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