A class of nonlinear generalized Landau-Ginzburg-Higgs (LGH) equation was considered by using the homotopic mapping method.

By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained.

From the topological angle and byintroducing the definitions of continuous mapping,open mapping,closed mapping,homeomorphic mapping,submatroid and quotient matroids,under which the qualities of matroids are studied,and some equivalent condictions are obtained.

An Effective Judging Method for Homomorphisms Which Keep Grbner Bases of Ideals;

It is proved that under certain conditions the commutativity of the Ω-algebra and the homomorphism from one Ω-algebra to another are decided by the generating set of the Ω-algebra.

A Class of Monoids of Fuzzy Logic Systems and Homomorphic Mapping

Firstly, as the extension of reductive semigroup, a nwe concept of left (or right) reductive semigroup is introduced and then the concept of N(2,2,0) algebra called homomorphic mapping is introduced.

In this paper the authors introduce the concept of the closure systems of algebras and the cardinal funtions on the closure systems, do some discussions for the realizable problem and problems related to the homomorphic mappings and product algebras, and get some results respectively.

The relation between codes over and the rings which have the same characteristics of Zm′s direct summand is also investigated by defining the isomorphism mapping of Zm to the rings which have the same characteristics of Zm′s direct summand.