摘要
定义了强Ω-Gorenstein内射模,利用同调的方法讨论了强Ω-Gorenstein内射模的性质。举例说明了强Ω-Gorenstein内射模类真包含于Ω-Gorenstein内射模类。最后证明了M是Ω-Gorenstein内射模当且仅当M是强Ω-Gorenstein内射模的直和因子。
The strongly Ω-Gorenstein injective modules are defined and the properties of strongly Ω-Gorenstein injective modules are discussed by homological method. Some examples are given to show that the class of Ω-Gorenstein injec-tive modules contains the class of strongly Ω-Gorenstein injective modules. At last, it is proved that M is Ω-Gorenstein injective modules if and only if M is a direct summand of a strongly Ω-Gorenstein injective modules.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2013年第2期23-26,共4页
Journal of Shandong University(Natural Science)
基金
陇东学院青年科技创新项目(XYZK1207)
国家自然科学基金资助项目(10901129
71161061)
