Hopf π-余代数与单侧π-余理想

Hopf π-coalgebra and unilateral π-coideal

介绍了π-余代数,Hopfπ-余代数,左(右)π-余理想,左(右)π-理想等概念,证明了Hopfπ-余代数的对偶空间■*为Hopfπ-代数.在此基础之上,得到了Hopfπ-余代数H的单侧π-余理想与H的对偶■*的单侧π-理想之间的对偶关系.

This paper introduces the concept of π- coalgebra, Hopf π- coalgebra, left（right） π- coideal and left（right） π-ideal. It is found that the dual spaces H^＊ of Hopf π- coalgebra H is Hopf π-algebra. The perfect duality between unilateral π-coideal of Hopf π-coalgebra H and unilateral π-ideal of Hopf π- algebra H^＊ was obtained on this basis.