查询词典 unital

Weak quasi-bialgebra (quasi-Ilopf algebra) is an associative algebra with unit 1 a non-unital algebra map i.

弱拟双代数是一个具有单位1的结合代数，具有余乘法与余单位。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.

假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。

We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.

我们刻画了有限vN代数上完全迹秩不增的线性映射；也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。

Based on the knowledge of real f -algebra, the important properties of semi and unital complex f -algebra are studied.

以实f-代数的理论作为基础，主要讨论了半素和有单位元的复f-代数的重要性质。

On the condition of normality, the question whether the unital complex f -algebra satisfies the property and multiple decomposition property are considered.

考察了在正规条件下，有单位元的复f-代数满足性质和乘法分解性质的情况。

Furthermore, it is presented that if I is a two-sided ideal of a unital ring R and I is an exchange general ring,then every central element of I is a clean element in I.

还证明了如果环R的双边理想I是一个exchange一般环，则I的每一个中心元素都是I中一个clean元素。

Except unital crime, the criminal subjectsinclude general and special ones in the penalckde.

我国刑法中的犯罪主体，除了单位犯罪外，可以分为一般主体和特殊主体。

The invariant V (A , [1〓] that we used for unital case is the semigroup of Murry-von Neumann equivalence classes of projections in matrices over C〓-algebras together with the class of the unit.

我们用来分类的不变量（V，[1〓]）是A的矩阵代数中所有投影的Murry-von Neumann等价类所成的半群及单位元所在的等价类。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。