| 吴美云,唐秋林.一类Hopf路余代数[J].数学年刊A辑,2011,32(3):319~330 |
| 一类Hopf路余代数 |
| A Class of Hopf Path Coalgebras |
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| DOI： |
| 中文关键词: Hopf代数 Hopf模 箭图 |
| 英文关键词:Hopf algebra Hopf module Quiver |
| 基金项目:南通大学自然科学基金(No.10Z009)资助的项目 |
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| 中文摘要: |
| 设$F$是域,$G$是3阶循环群,$Q$是群$G$的箭图. 借助于模范畴的等价性, 给出了Hopf路余代数$FQ^c$的所有结构分类, 并给出了$FQ^c$的子Hopf代数$FG[FQ^c_1]$的结构. |
| 英文摘要: |
| Let $F$ be a field, $G$ a cyclic group of order 3 and $Q$ a quiver of a group $G$. With the help of the equivalence of module categories,
we give all the isomorphic classification of the Hopf path coalgebra $FQ^c$ and the structures of Hopf subalgebra $FG[FQ^c_1]$ of $FQ^c$. |
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