| 双扭Hopf代数的分次Hopf理想 |
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| 引用本文： | 肖艳艳.双扭Hopf代数的分次Hopf理想[J].伊犁师范学院学报(自然科学版),2014(3):1-6. |
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| 作者姓名： | 肖艳艳 |
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| 作者单位： | 南京师范大学泰州学院数学科学与应用学院,江苏泰州225300 |
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| 摘 要： | 引入双扭Hopf代数的分次余理想（分次双理想、分次Hopf理想）以及分次子代数（分次子双代数、分次子Hopf代数）的概念,研究局部有限的双扭Hopf代数的分次余理想（分次双理想、分次Hopf理想）的对偶问题,得到一个局部有限的双扭Hopf代数的分次子空间是分次余理想（分次双理想、分次Hopf理想）的一个等价条件.
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| 关 键 词： | 双扭Hopf代数 分次余理想 分次双理想 分次Hopf理想 分次子代数 分次子双代数 分次子Hopf代数 |
Graded Hopf Ideal of Bitwisted Hopf Algebras |
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| XIAO Yan-yan.Graded Hopf Ideal of Bitwisted Hopf Algebras[J].Journal of Ili Normal University,2014(3):1-6. |
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| Authors: | XIAO Yan-yan |
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| Institution: | XIAO Yan-yan (School of Mathematics, Taizhou College, Nanjing Normal University, Taizhou, Jiangsu 225300, China) |
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| Abstract: | The notion of graded coideal（graded biideal, graded Hopf ideal） and graded subalgebra（graded subbialgebra, graded subHopfalgebra） of bitwisted Hopf algebra are introduced. The dual of the graded coideal（graded biideal, graded Hopf ideal） of a local finite dimensional bitwisted Hopf algebra is discussed. The equivalent conditions for the graded subspace of a local finite bitwisted Hopf algebra to be a graded coideal（graded biideal, graded Hopf ideal） are given in this paper. |
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| Keywords: | bitwisted Hopf algebra graded coideal graded biideal graded Hopf ideal graded subalgebra graded subbialgebra graded subHopfalgebra |
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