J4 ›› 2013, Vol. 48 ›› Issue (2): 23-26.
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王欣欣
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基金资助:
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)
WANG Xin-xin
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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。
关键词: 强Gorenstein内射模; Ω-Gorenstein内射模; 强Ω-Gorenstein内射模
Abstract:
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 injective 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.
Key words: strongly Gorenstein injective modules; Ω-Gorenstein injective modules; strongly Ω-Gorenstein injective modules
王欣欣. 强Ω-Gorenstein内射模[J]. J4, 2013, 48(2): 23-26.
WANG Xin-xin. Strongly Ω-Gorenstein injective modules[J]. J4, 2013, 48(2): 23-26.
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