In this paper, soft int-groups, soft normal int-groups and their basic properties are presented. Normal soft int-subgroup of a soft int-group is defined and relations concerning them are given. Then,...doi:10.1007/s13370-018-0566-4KaygisizKenanSpringer Berlin HeidelbergAfrika Matematika
Chapter Classifying Spaces of Compact Lie Groups and Finite Loop Spaces 5.2 Homomorphisms A homomorphism f : X→ Y is a pointed map Bf : BX→ BY. The homomorphism f is an isomorphism if Bf is a homotopy equivalence. It is a monomorphism if the homotopy fiber Y /X of Bf is Fp-finite...
Isomorphism: a homomorphism of two morphisms. Two objects are said to be isomorphic if there is an isomorphic mapping between them. Isomorphic objects are indistinguishable in terms of the structure on top of them.满同态（epimorphism）：就是满射的同态。Epimorphism: that's surjective homomorphism....
There is an isomorphism from Tn to the set of n-square permutation matrices (either over R or a Boolean algebra), and it follows that any finite group can be represented as a group of permutations or of invetible matrices. Groups can be simplified by homomorphisms in many cases. The ...
3.3 The Isomorphism Theorems 1. 已知 F 为 q 阶有限域 , n Z , 证明 | GL (F) : SL (F) | = q - 1。 2. 证明 Lattice 同构定理。 3. 证明若 H 是群 G 的具有质数指数 p 的正规子群 , K G : 以下两种情况必然居其一:(i) K H ; 或 (ii) G = HK , 且 | K : K H | ...
Special types of homomorphisms have their own names. A one-to-one homomorphism from G to H is called a monomorphism, and a homomorphism that is “onto,” or covers every element of H, is called an epimorphism. An especially important homomorphism is an isomorphism, in which the homomorphis...
In 2006, P. J. Cameron and J. Nešetřil introduced the following variant of homogeneity: we say that a structure is homomorphism-homogeneous if every homomorphism between finitely generated substructures of the structure extends to an endomorphism o
1) module of homomorphisms 同态模 2) Homomorphic model 同态模型 3) fuzzy homomorphism 模糊同态 1. Fuzzy Homomorphism of Groups and Isomorphism Theorems of Fuzzy Quotient Groups; 群的模糊同态与模糊商群的同构定理 2. Fuzzy homomorphism and fundamental theorem offuzzy homomorphism; ...
Thehomomorphismand isomorphism of L-Fuzzy groups; *-同态 3. Homomorphisms from 4-order Special Linear Groups over Skew Fields; *-同态 3) homomorphisms 同态 1. The Congruences and Homomorphisms of Lattice-valued Mealy-type Machines; *-同态 ...
2) fuzzy weak isomorphism 模糊弱同构3) fuzzy homomorphism 模糊同态 1. Fuzzy Homomorphism of Groups and Isomorphism Theorems of Fuzzy Quotient Groups; 群的模糊同态与模糊商群的同构定理 2. Fuzzy homomorphism and fundamental theorem of fuzzy homomorphism; 模糊同态与模糊同态基本定理 3. The fuzzy ...