1. A homomorphism that maps a mathematical set into itself.

2. Ring; Lattice; Strong cut set; Fuzzy mapping; Fuzzy homomorphism.

3. The three classes of homomorphisms of implicative posemigroups are investigated. The three homomorphism theorems are established.

4. The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given.

5. In this paper, the concept of natural homomorphism for graph is presented. Furthermore, the method of reducing information graph and keeping the capability of processing information is given.

6. From the viewpoint of homomorphism idea of gestalt psychology, the vocal technique is a kind of practice and operational method with isomorphic of feeling and substance.

7. A ring homomorphism f : A → B is finite.

8. The concept of fuzzy homomorphism between two near - ring was defined.

9. In the same time, from the view point of abstract algebra, the homomorphism between disturbing fuzzy logic operator group and class fuzzy logic operator group is studied.

9. try its best to gather and make good sentences.

10. The fuzzy mapping is given based on the concept of fuzzy equivalent, and fuzzy homomorphism of groups and characteristics in this mapping state are discussed.

11. In this paper, we introduce the concept of fuzzifying groups based on many valued logic and investigate some algebraic properties of normal subgroups, coset and homomorphism.

12. An element gis a test element of a group G if every homomorphism of G which keeps g fixed is an automorphism .

13. Categorical Date Type(CDT) can be regarded as a generalization of abstract data types, whose object is encapsulated data representation and also the control flow involved in evaluating homomorphism.

14. The algorithm is tested in a small structure base . Keywrods: Structure searching , Structure homomorphism.

15. Theand the anti - grouped ideal of BZ - algebra were introduced and the homomorphism theorem of BZ - algebras was proved.

16. Studying the condition about the natural partial order on it. And characterized the homomorphism between regular semigroups, discussing the conditions about the special homomorphism image.