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1)  normal sub semigroup
不变子半群
2)  invariant subgroup
不变子群
1.
This paper mainly researches the relationship among the solution coset of linear equations form the angle of the coset of invariant subgroup,in the course of which the base and the dimension of quotient space have been found out.
从不变子群的陪集的角度研究线性方程组的解陪集之间的关系,并找到了商空间的基与维数。
2.
The article studies the propertes of Fuzzy homomorphism in groups,the results are obtained that the image φ ′ λ(W) of a subgroup W is also a subgroup,and the image φ ′ λ(H) of a invariant subgroup H is also a invariant subgroup.
研究群的Fuzzy同态性质 ,获得了子群W的像 φ′λ(W )也是子群 ,不变子群H的像φ′λ(H)也是不变子群 ;构造了两个特殊不变子群L =△{ y∈G2 | x∈G1,φ(x ,y) =φ(x ,e2 ) } ,φ- 1(e2 ) =△{x∈G1|φ(x ,e2 ) =1 } ,获得不变子群的一个重要性质及Fuzzy同态基本定
3)  normal subgroup
不变子群
1.
This paper introduces the relationship between equivalence relation and subgroup, and from this equivalence law between congruence and normal subgroup can be deduced, The aim of this paper is to get a deeper understanding of equivalence relation, congruence, subgroup, normal subgroup and quotient group.
介绍了等价关系与子群的关系,并由此推导出同余关系与不变子群的等价定理,从而进一步加深对等价关系、同余关系、子群、不变子群以及商群的理解。
4)  S-invariant group
S-不变子群
5)  α-invariant subgroup
α-不变子群
6)  fuzzy invariant subgroup
Fuzzy不变子群
1.
The paper illustrates and emphasizes the two concepts of fuzzy subgroup and fuzzy invariant subgroup.
对Fuzzy子群与Fuzzy不变子群这两个概念作进一步刻划 ,并讨论了相应的截集、交集、并集、数积、同态象与同态逆象等性质 ;同时引入Fuzzy单位子群的概
补充资料:不变子群


不变子群
invariant subgroup

不变子群tin栩喊叨t,魄帅IP;.朋pll~.n叭印抑.a] 与正规子群(nontol sub脚uP)同义,即G的子群H,它在G的任意内自同构(盆叮犯r auto伽rp恤m)下变到自身.石生明译许以超校
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