Ore Extensions Of Quasitriangular T-coalgebras

This paper mainly considers a special class of twice Ore extensions.First introduces the definition of ambiskew Hopf πr-coalgebra.Then gives the necessary and sufficient con-ditions for the Ore extensions to become an ambiskew Hopf π-coalgebra,and isomorphism between ambiskew Hopf π-coalgebras are diacusses.Finally,the concept of ambiskew T-coalgebra is introduced,and gives the necessary and sufficient conditions when the Ore extensions of quasitriangular T-coalgebras will preserve the same quasitriangular struc-ture.