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1·Rules can also be used for commutative and noncommutative algebra.

规则可以用于交换和非交换代数。

2·Ruless can also be used for commutative and noncommutative algebra.

规则可以用于交换和非交换代数。 。

3·The central notion in commutative algebra is that of a prime ideal.

交换代数中最核心的概念就是素理想。

4·The course may be taken concurrently with 18.705, Commutative Algebra.

本课程可以和18.705交换代数一起学习。

5·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。

6·Computations in Commutative algebra (CoCoA) is another free computer algebra system for working with very large integers, rational Numbers, and polynomials.

Computations in Commutative Algebra (CoCoA)是另一个免费计算机代数系统，用于处理超大型整数、有理数和多项式。

7·The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.

模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。

8·It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.

交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。

9·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。

10·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。