斜群代数的倾斜维数  

Tilting Dimensions of Skew Group Algebras

作　　者：姚海楼[1] 吕鑫龙 YAO Hailou;LV Xinlong(College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学理学部数学学院,北京100124

出　　处：《北京工业大学学报》2021年第2期201-208,共8页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11671126)。

摘　　要：基于倾斜理论引入了倾斜投射模的概念.讨论了它的基本性质,并进一步引入了模的倾斜投射维数以及Artin代数的倾斜整体维数.令G是有限群,研究了Artin R-代数∧和斜群代数∧G的倾斜整体维数之间的关系,得到等式t.gl.dim(∧)=t.gl.dim(∧G).This paper introduced the concept of tilting projective modules,which are based on tilting theory,and studied its basic properties.Furthermore,the definition of tilting projective dimension of modules and tilting global dimension of algebras were introduced.Let G be a finite group,the relation about tilting global dimension between Artin R-algebras∧and skew group algebra∧G,was discussed obtaining that t.gl.dim(∧)=t.gl.dim(∧G).

关 键 词：斜群代数 倾斜投射模 倾斜投射维数 倾斜整体维数 倾斜模 倾斜投射分解 

分 类 号：O154.1[理学—数学] O154.2[理学—基础数学]