Bass模类的一个注记

A Note on the Bass Class

经典的Foxby等价是由一个半对偶化模在Auslander和Bass模类之间诱导出来的.在一般的结合环上考虑一种相对同调维数—Bass内射维数,通过模范畴中特殊的分解,给出了计算Bass内射维数的一种方法.作为应用,得到了Bass模类的一种新刻画.

Classical Foxby equivalence is induced by a semidualizing bimodule between the Auslander class and Bass class. Over a general associative ring it considers a relatively homological dimension-Bass injective dimension,through a special resolution of module category,a method of computing the Bass injective dimension is given. As an application,it gives a new equivalent characterization of Bass class.