研究了Auslander-型环上合冲模的性质。通过模的极小内射分解,定义了一类比合冲模类更广的模类,讨论了这种模类与合冲模类相等的必要条件与充分条件。
In this paper , the properties of syzygy modules over Auslander -type rings were study .By study the minimal injective resolutions of modules , a subcategory which is bigger than the syzygy module subcate-gory was introduced .The properties of rings on which these two subcategories are identical was discussed .The necessary and sufficient condition was also studied when these two subcategories are identical .