三级三角矩阵环的若干性质

Some Properties of Triangular Matrix Rings of Order

文章给出了三级三角矩阵环Г的定义,通过建立一个等价函子F,证明了三角矩阵代数Г上的有限生成模范畴modГ与Г￡是等价的范畴.利用伴随同构定理,得到了与Г￡同构的范畴Г￡.

This paper gives the definition of triangular matrix rings of order 3 Γ,and by establishing an equivalent functor F,proved here is also the equivalence between finitely generated module category mod Γ over triangular matrix algebra Γ of order 3 and category Γ ￡.Moreover,it obtains an isomorphic category Γ ￡with Γ ￡ by means of adjoint ismorphism theory.