%0 Journal Article
%T Cocycle形变的整体维数<br>Global dimensions of cocycle deformations
%A 俞晓岚
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.428
%X 摘要： 证明了如果H是整体维数为d的交换Hopf代数, 那么H的cocycle形变的整体维数小于等于d, 即交换Hopf代数的cocycle形变保持整体维数的有界性。<br>Abstract: Let H be a commutative Hopf algebra with global dimension d. It is proved that the global dimension of any cocycle deformation of H is at most d. That is, cocycle deformations of commutative Hopf algebras preserve the boundedness of global dimensions
%K cocycle形变
%K Hopf代数
%K 整体维数
%K &lt
%K br&gt
%K Hopf algebra
%K global dimension
%K cocycle deformation
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.428