三级三角矩阵环上模的进一步性质

New Properties of Module over 3 Order Triangular Matrix Rings

设Γ是三级三角矩阵代数,modΓ表示Γ上的有限生成模范畴,Γζ是与modΓ等价的范畴.讨论了Γζ的Jacabson根,Γζ的单对象及投射对象的形式及Γ的整体维数等同调性质.

Let rbe 3 order triangular matrix algebra, mod Г be finitely generated module category over Г and Г^ζ equivalent category with Г. Discussed in this paper are some properties of Jacobason radical in Г, simple objects and projective objects in Г^ζ and the global dimension of Г.