摘要
在右n-凝聚环上研究Gorenstein n-余挠模的相关性质,证明了在右n-凝聚环上Gorenstein n-平坦模的Gorenstein n-余挠包络是Gorenstein n-平坦模,Gorenstein n-余挠模的Gorenstein n-平坦覆盖是Gorenstein n-余挠模;将n-余挠模的相关性质推广到Gorenstein n-余挠模上;在右n-凝聚环上讨论模和环的Gorenstein n-余挠维数的相关性质,给出了右n-凝聚环的左Gorenstein n-余挠整体维数与其他同调维数之间的一些等价刻画.
Several relative characterizations of Gorenstein n - cotorsion modules over tight n - coherent tings are shown. It proves that the Gorenstein n - cotorsion envelope of Gorenstein n - flat modules is Gorenstein n - flat module and the Gorenstein n - flat cover of Gorenstein n - cotorsion modules is Gorenstein n - cotorsion module. At the same time, it generates some properties of n - cotorsion modules to Gorenstein n - cotorsion modules. Finally, certain characterizations of Gorenstein n - cotorsion dimension of modules and rings are discussed, and some equivalent descriptions between Gorenstein n - cotorsion global dimension of tight n - coherent tings and other homological dimensions are obtained.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2015年第6期111-115,共5页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11361051)
