强Ω-Gorenstein内射模  

Strongly Ω-Gorenstein injective modules

作　　者：王欣欣[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《山东大学学报（理学版）》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)

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.

关 键 词：强Gorenstein内射模 Ω-Gorenstein内射模 强Ω-Gorenstein内射模 

分 类 号：O153.3[理学—数学]