ON CROSSED-PRODUCTS OF HOPF-ALGEBRAS

被引：40
|
作者：
LORENZ, ME [1 ]
LORENZ, M [1 ]
机构：
[1] TEMPLE UNIV,DEPT MATH,PHILADELPHIA,PA 19122
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 01期
关键词：
HOPF ALGEBRA; CROSSED PRODUCT; GLOBAL DIMENSION; WEAK DIMENSION; PROJECTIVE DIMENSION; FLAT DIMENSION; VON NEUMANN REGULAR RING; SEMISIMPLE RING;
D O I：
10.2307/2160606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let B = A#sigma H denote a crossed product of the associative algebra A with the Hopf algebra H. We investigate the weak dimension and the global dimension of B and show that wdim B less than or equal to wdim H + wdim A and I.gldim B less than or equal to r.gldim H + l.gldim A.
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页码：33 / 38
页数：6
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