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- commutative coalgebra 交换上代数
- To satisfy or engage in a commutative operation. 直接转换符合或从事交换操作
- 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。
- The groups of the solvable equations are commutative. 可解方程的群都是交换群。
- It should be clear that vector addition is commutative. 可清楚地看0剑0矢量加法满足对易律。
- A coalgebra with a partially ordered set as basis is pointed and cocommutative. 摘要证明了以偏序集为基的一个余代数是有点的且是余交换的。
- Cochran theorem is extened over the non commutative Euclid ring with 1. 在有1的非交换Euckld环上拓广了Cochran定理
- Let R be a finite commutative local ring and K the residue field of R. 令R为有限交换局部环;K为其剩余类域;令|K|=q.
- Successive Adaptations are merged in a commutative and associative way. 通过一种可交换的相关联的方式来合并连续的适配操作。
- Overloaded operators are never assumed to be associative or commutative. 重载的运算符总不具有结合性或交换性。
- The minimal ideal of a commutative semigroup, when it exists, is a group. 交换半群的极小理想如果存在的话是个群。
- If R with semiprime centers, then nilradR=prime radR and they are commutative. 在具有半素中心的环中;素根与诣零根是相同的;且它们是可换的.
- Basic properties of the dense sub-semigroups in commutative groups are studied. 引入了可换群的稠密子群，并研究了它的基本性质。
- Let L and A be Hopf algebras on field k with antipodes SL and SA,and let C be a right A-module coalgebra. 设L是域k上的Hopf代数,其对极为SL;
- Then ascertain the communications interface as well as commutative protocol. 然后确定通信接口以及交换协议。
- Commutative right is the product that the history develops certain level. 交换的权利是历史发展到一定阶段的产物。
- Each sentence of the document was taken as an assertion, and the document was taken as an assertion stream.The semantics of the document was observed by coalgebra methods. 将文档的每一句看作一个断言，并动态地将文档理解为一个断言流，从而利用余代数方法对文档的语义进行观察。
- Multiplication of permutations, unlike multiplication of numbers, is not always commutative. 置换的乘法不同于数的乘法，它并不一定满足交换律。
- Methods The commutative condition of selfmapping pairs are applied in metric space. 方法利用度量空间中自映象对的可交换性条件。
- Students should have some familiarity with commutative algebra and basic topology. 学生需要对交换代数和基本拓扑学有一定的瞭解。
