In this paper we introduce the notion of relative syzygy modules. We then study the extensionclosure of the category of modules consisting of relative syzygy modules (resp. relative k-torsionfree modules).
基金We thank for the funding support from the National Natural Science Foundation of China(No.81260550)Key Laboratory Construction Project of Traditional Chinese Medicine for Prevention and Treatment of Five Sense Organ Diseases in Hunan Province(No.2017TP1018)Key Subject Construction Project of Traditional Chinese Medicine Ophthalmology of the State Administration of Traditional Chinese Medicine(No.ZK1801YK015).
基金The author was partially supported by the National Natural Science Foundation of China(Grant No.10001017)Scientifc Research Foundation for Returned Overseas Chinese Scholars(State Education Ministry) Nanjing University Talent Development Foundation.
文摘In this paper we introduce the notion of relative syzygy modules. We then study the extensionclosure of the category of modules consisting of relative syzygy modules (resp. relative k-torsionfree modules).