The Operation Of Relative Products And Some Characters Of Rough Ring

This paper has two parts.The first part is about the topologies,the other part is about the rough algebra.In the paper[3],Li jinjin defines the relative product spaces,which makes it possible for different L - Fuzzy spaces to multiply.In the first part of this paper,we mainly discuss the relative products of the nearly N-compactness by using generalized Zadeh function,and also point out that some conclusions in the paper [2]and[20]are the corollaries of some results of paper.In the second part of this paper,the algebraic structure of rough sets is studied. The concepts of rough field and rough integral ring are introduced.The structure characteristics of rough divided ring and rough field and rough integral ring are discussed,and some good characters are produced and proved through the method of rough sets theory and the managing method in sutra algebra.