In this paper,the correspondence theorem for the usual algebraic systems is generalized to coalgebra.Moreover,one example,which illustrate the preimage of a subcoalgebra need not to be a subcoalgebra for general coalg...In this paper,the correspondence theorem for the usual algebraic systems is generalized to coalgebra.Moreover,one example,which illustrate the preimage of a subcoalgebra need not to be a subcoalgebra for general coalgebra homomorphism,is given.展开更多
In this paper, we first prove that the dual module of a rational module is still a rational module, and maximum rational modules keep their exac t properties. Then, we give the Maschke theorem of the coideal subalgebr...In this paper, we first prove that the dual module of a rational module is still a rational module, and maximum rational modules keep their exac t properties. Then, we give the Maschke theorem of the coideal subalgebra of qua si-Frobenius algebra, and give some equivalent conditions for the ideal subcoal gebra.展开更多
文摘In this paper,the correspondence theorem for the usual algebraic systems is generalized to coalgebra.Moreover,one example,which illustrate the preimage of a subcoalgebra need not to be a subcoalgebra for general coalgebra homomorphism,is given.
文摘In this paper, we first prove that the dual module of a rational module is still a rational module, and maximum rational modules keep their exac t properties. Then, we give the Maschke theorem of the coideal subalgebra of qua si-Frobenius algebra, and give some equivalent conditions for the ideal subcoal gebra.
