ZYE3代数范畴  

Category of ZYE3 Algebras

作　　者：沈百英[1] 方朝臣[1] 郑恒武[1] 

机构地区：[1]华东理工大学计算机系,曲阜师范大学数学系

出　　处：《华东理工大学学报（自然科学版）》1994年第2期219-227,共9页Journal of East China University of Science and Technology

摘　　要：系统地讨论ＺＹＥ３代数的范畴理论，其中包括积、上积、纤维积、张量积、正向极限和逆向极限．证明了它们的存在性唯一性，且讨论了一些与之有关的性质。We discuss systematically some results of the category of ZYE 3 algebras-products,coproducts,fibre products (or pullbra cks),tensor products,direct limils,and inverse limits.We prove mainly the following results:Theorem products and coproductsof arbitrary indexed sets of objects in ZYE 3 exist.Theorem let f_1∈hom(X_1,Y),f_2∈hom(X_2,Y)in ZYE3.Then the fibre product of (f_1,f_2,Y)exist.Theorem for any X,Y obZYE3 there exists an unique tensor product of X and Y up to isomorphisms.

关 键 词：代数 范畴 范畴理论 积 极限 

分 类 号：O154[理学—数学]