双扭Hopf代数的分次Hopf理想

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。%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.