有限G-分次半单模的同调维数  

Homological Dimensions of Finite G-Graded Semisimple Modules

作　　者：赵巨涛[1] 秦少青[1] 

机构地区：[1]晋东南师范专科学院数学系,山西长治046011

出　　处：《华北工学院学报》2001年第5期378-380,共3页Journal of North China Institute of Technology

摘　　要：目的　研究非交换 G-分次环上有限分次半单模的同调性质 .方法　利用同调函子 ,运用同调和分次的方法 .结果　主要证明了分次环上有限 G-分次半单模的分次内射维数等于它的平坦维数 .结论　所得的结果包含了非分次情形的形式 ,推广了文献 [1 ,2Aim: To study the homological properties of finite graded semisimple modules in non-commutative G-graded ring. Methods: Homologic and grading method are used. Results: It is proved that the injective dimension of finite G-graded semisimple module is equal to its flat dimension. Conclusion: Non-graded type are contained by my results and the results of and are generalized.

关 键 词：分次半单Artin环 分次半单模 分次单模 Cr-V环 Cr-VN正则环 

分 类 号：O153.3[理学—数学]