摘要
引进了广义投射模的概念,给出了广义投射模的若干刻划,证明了广义投射模与FP-内射模在Morita对偶下互为对偶,同时证明了当环扩张S≥R是有限三角扩张及拟优扩张时,模MS为广义投射模当且仅当MR为广义投射模。
Accordingto FP-injectivemodules,we introducethegeneralizedprojectivemodulesand presentsome characterizations.We discusstheMoritadualitybetweengeneralizedprojectivemodulesand FP-injectivemodules.It is proveda rightS-moduleM S is a generalizedprojectivemoduleif and only if M S is wheneverring extensionS≥R is a quasi-excellentextensionand a finitetriangularextension.
基金
福建省教育厅科学基金项目(JB01206)
