Some Problems Research Of The Category Of Ring Based On The Category Of Theory

Categorical theory is an abstract theory which deals with the relation between mathematical structure and mathematical structure.Category theory is a tool,literature [1] has studied the properties of intrinsic group objects in the scope of finite product,and the literature [5] discusses.The group structure is represented in some specific categories.This paper studies topological semigroups from the perspective of the intrinsic algebraic structure of the category.The properties of four different topological and semigroups are constructed to prove that these four categories are isomorphic.This is the four expression forms of the topological semigroup.Then,on the basis of the above research,it is introduced that there is a semigroup.The concept of the product property is discussed in the semigroup category,and it is proved that there is a semigroup norm of the scope of the closed product of the product.Domain is also a product closed.Finally,it is proved that the topological semigroup is also closed on the product.This paper mainly studies from the following three aspects:Chapter one: introduce some basic concepts in the category;Chapter two: from the perspective of the intrinsic algebraic structure of the category,the properties of the topological semigroups are studied,and four different kinds of the topology are constructed.In this paper,it is proved that the four categories are isomorphic,and thus the four expressions of the topological semigroups are obtained.Type.Chapter three: to introduce the concept of intrinsic MAO semigroup category and discuss the product properties in the intrinsic MAO semigroup category and proves the intrinsic MAO about the category of product enclosed semigroup category is also a product of a closed;The product closure of topological monocle categories is obtained.