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Hopf代数的冲积的弱整体维数
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O153[理学—数学;理学—基础数学]
  • 作者机构：[1]首都师范大学数学系,北京100037
  • 相关基金：the National Natural Science Foundation of China （10271081） and the Natural Science Foundation of Beijing （1042004）
作者： 王志玺[1], 赵慧[1]
关键词： 弱整体维数, 模代数, 冲积, weak global dimension, module algebra, smash product.
中文摘要：

设H是有限维Hopff代数，A是交换的H-模代数．当H^＊是幺模且A中存在迹为1的元素时，本文证明冲积A#H与代数A的弱整体维数相等．

英文摘要：

Let H be a finite dimensional Hopf algebra and A a commutative H-module algebra. We prove that the smash product A#H is of the same weak global homological dimension as A, provided that H^＊ is unimodular and there is a trace one element in A.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36