单侧π-模理想

Unilateral Module Ideal

介绍了局部有限维的介绍了局部有限维的Hopfπ-代数上π-H-模代数的对偶是Hopfπ-余代数上π-H-余模余代数.在此基础上,讨论π-H-模代数的单侧π-H-模理想与π-H-余模余代数的单侧π-H-余模余理想之间的对偶关系.

Let H be a local finite dimensional Hopf π-algebra, we show that the dual spaces of a π -H-module algebra is a π-H-comodule coalgebra. The perfect duality between unilateral π -H-module ideal of π -H-module algebra and unilateral π-H-comodule coideal of π-H-comodule coalgebra was obtained on this basis.