Rules can also be used for commutative and noncommutative algebra.
规则可以用于交换和非交换代数。
Heisenberg had not proceeded very far with this idea before he noticed that it would lead to his physical quantities not satisfying the commutative law of multiplication.
在意识到矩阵表示将导致物理量不满足乘法交换律之前，海森堡并没有前进太远。
The subtract operator, however, is not commutative; therefore, you need two operations to handle the value to be subtracted and the value from which the subtraction will take place.
但是，减法运算符是不可交换的；所以，需要两个操作来处理减数和被减数。
When you combine these operations, the results are not commutative - the order in which you multiply matrices is important.
当你在组合这些操作的时候，矩阵的运算顺序是不可交换的，不同相乘顺序会导致不同的变换效果，这点很重要。
In chapter 2, rings are assumed to be commutative.
在第二章中，我们假设所有的环都为交换环。
The groups of the solvable equations are commutative .
可解方程的群都是交换群。
The number of polynomial function over a finite commutative ring.
有限交换环上的多项式函数的个数问题。
Structures and properties of quasi-commutative chained semigroups are studied.
研究了拟交换链半群的结构和性质。
The conclusion is that the theoretical foundation of commutative hyper-operator method is Lie algebra.
结论是交换超算符方法的理论基础是李代数。
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.
本文研究了含幺可换环上一般线性李代数的子代数结构。
This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
In this paper, we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.
研究了代数闭域上三维交换代数的分类。
The fractional ring(module)and the interrelated localization method are the important tools for commutative algebra.
分式环和分式模以及与之相关的局部化方法是交换代数中一个重要工具。
All these results are the non-commutative generalizations of the corresponding ones of the filter theory of NM algebra.
它们是NM代数滤子理论相应结果的非交换推广。
We study the definition of bialgebra and prove the sufficient conditions about a bialgebra is commutative and cocommutative.
从双代数的定义入手，给出了双代数成为交换和余交换双代数的两个充分条件。
In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.
本文通过对合交换半群概念的引入，对MV-代数建立了几组等价公理系，对原有的公理系进行了较好的简化。
This paper discusses the problems in meter audition from the Angle of commutative meter, parallel meter and modern music meter.
该文拟从可互换拍子、对等拍子、现代音乐节拍观念等方面入手，谈谈在节拍听辨中应注意的几个问题。
Recently physicists working on superstring theory paid much attention to the quantum mechanics on non-commutative Spaces (NCQM).
非对易空间中的量子力学(NCQM)最近引起了超弦理论领域物理学家们的兴趣。
Since XOR operations are commutative and associative, correct recovery is possible regardless of the creation sequence of log records.
由于XOR运算具有交换性和结合性，无论日志记录生成的次序如何都可获得正确的恢复。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
Furthermore, the meet and the join for the good congruence lattice are determined for the semilattice of commutative cancellative monoids.
特别是确定了交换的可消幺半群的半格的好同余格上的交与并运算。
On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
在有单位元的交换环上，可应用生成元和定义关系的方法给出仿型李代数的定义。
The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
This paper introduces the notion of compatibility between preorderings and V-valuations on commutative rings with units and obtain some relevant results.
在带有单位元的交换环上，引入了V-赋值与亚序间的相容性，并得出了一些性质。
The paper shows that the method of proving the commutative property of composition for the finite rotations by quaternions is simpler than that by vectors.
文中表明用四元数方法证明该定理比矢量法更为简单。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
对交换环定义了广义p F环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
对交换环定义了广义p F环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。
应用推荐