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....
The homomorphism and isomorphism theorems traditionally taught to students in a group theory or linear algebra lecture are by no means theorems of group theory. They are for a long time seen as general concepts of universal algebra. This article goes even further and identifies them as relational...
What is homomorphism and isomorphism of group? Isomorphism. Agroup homomorphism that is bijective;i.e., injective and surjective. Its inverse is also a group homomorphism. In this case, the groups G and H are called isomorphic; they differ only in the notation of their elements and are ident...
The homomorphism and isomorphism theorems traditionally taught to students in a group theory or linear algebra lecture are by no means theorems of group theory. They are for a long time seen as general concepts of universal algebra. This article goes even further and identifies them as relational...
We want to define here the isomorphism concept in a general setting, and to show that two isomorphic structures must satisfy exactly the same sentences. Let , be structures for the language. A homomorphism h of into is a function h : ||→ || with the properties: (a) For each n-place...
Homomorphism and isomorphism are one of the important concepts in algebra. In this paper,on the basis of the concept of( λ,μ)-anti fuzzy normal subgroups,the concept of( λ,μ)-quotient anti fuzzy subgroup is introduced,and the homomorphism and isomorphism of( λ,μ)-anti fuzzy subgroups...
We say that a structure A belongs to a class XY if every homomorphism of type X from a finite substructure of A into A extends to a homomorphism of type Y from A to A where X and Y can be I,M and H (standing for isomorphism, monomorphism, homomorphism respectively). Many of these...
The little book (152 pages) discusses the group axioms, isomorphisms, cyclic groups, coset decompositions, Lagrange 's theorem, permutation groups , normal subgroups , quotient groups, homomorphisms, the first and second isomorphism theorems, and the Jordan - Hölder theorem. 小书( 152页)论述...
In this paper,the main work is to discuss the application of Rough Sets theory on algebra system-group.Some concepts of rough group,such as rough homomorphism and rough isomorphism,are introduced.Properties which are related to these concepts are proved. 关键词: rough group rough subgroup rough ...
- 《IEEE Transactions on Circuits & Systems Part I Fundamental Theory & Applications》 被引量: 18发表: 2002年 The Homomorphism and Isomorphism on Hypergroup 摘要: 钟育彬 - 《数学季刊(英文版)》 被引量: 14发表: 1997年 Intuitionistic Fuzzy Ring and Its Homomorphism Image On the basis of ...