在讨论反变有限子范畴的验证方法的基础上,讨论了几类密切相关的代数的由Gorenstein维数有限的模构成的子范畴的反变有限性之间的关系,给出了相关的结果,并对给出的结果做出了证明.
By discussing the methods to prove the contravariant finity of some subcategories,the relationship between the subcategories which are constituted by the modules with finite Gorenstein projective dimensions of some related algebras is studied.The related results and their proofs are given.