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In this paper,we prove the first isomorphism theorem,the second isomorphism theorem, the extension theorem of simorphism, and another so me important properties of FAR-module. 证明了FAR模的第一同构定理、第二同构定理、同构扩展定理以及其他一些重要性质。
second isomorphism theorem 第二同构定理
In this paper, we mainly extend the lattice isomorphism theorem in module theory to the sets. 摘要本文把模论中的部分结果推广到集合上，主要得到了集合上等价关系格的同构定理。
This paper has firstly defined the factor struture M/P(M) of commutatiuely residual monoid M by its sub-monoid P(M), then we have studied its properties and given out some isomorphism theorem. 本文首先定义了交换剩余幺半群M相对于其子半群P（M）的商结构M／P（M），然后研究了它的性质并给出了一些同构定理。
Abstract The concept of normal fuzzy hyperideals of hyperrings is introduced and then some fuzzy isomorphism theorems of hyperrings is obtained by normal fuzzy hyperideals. 摘要引入超环的正规模糊超理想概念;利用其刻画超环的模糊同构定理.;关键词超环;正规模糊超理想;同构
A dimensional theorem and an isomorphic theorem for Hilbert space under the generalized continuum hypothesis (GCH) is given. 本文在广义连续统假设2=a+1(简记为GCH)下,给出Hilbert空间的维数定理和同构定理。
isomorphism theorems of group theory 群论的同构定理
Isomorphism Theorems of Fuzzy Topological Ring 模糊拓扑环的同构定理
The second proof of Theorem 26 is due to James. 定理26的第二个证明属于詹姆斯。
He singled and went to second on a passed ball. 他击出一垒打，再因对方漏接而跑上二垒。
The runner went to second base on a wild pitch. 一记瞎设让跑垒员跑上了第二垒。
The Characterzations of Inner Ideal in Concrete Operator Algebra and an Isomorphism Theorem Between Them 具体算子代数的内理想刻画及同构定理
It travels thousands of miles per second. 它一秒钟能走几千英里。
The second snub settled his hash. 第二次碰壁使他不敢再找麻烦了。
The second term commences in March. 第二学期自三月开始。
The Isomorphic Theorem of Finite Abel Group 有限Abel群的同构定理
He kicked the car down from third to second. 他把汽车排档从3档降为2档。
Her second novel was taken apart by the critics. 她的第二部小说受到评论家的严厉批评。
My father grows roses that are second to none. 我父亲种的玫瑰是最好的。
The game didn't heat up until the second half. 游戏玩到后半场才热闹起来。