Symmetric approximation sequences, Beilinson-Green algebras and derived equivalences

In this paper, we will consider a class of locally $\Phi$-Beilinson-Green algebras, where $\Phi$ is an infinite admissible set the integers, and show that symmetric approximation sequences in $n$-exangulated categories give rise to derived equivalences between quotient algebras principal diagonals modulo some factorizable ghost coghost ideals by finite tilting family. Then get equivalent have not been obtained using previous techniques. From higher exact sequences, obtain subalgebras endomorphism constructing complexes, which generalizes Chen Xi's result for sequences. given equivalence, semi-Gorenstein modules. Finally, from graded group associated Beilinson-Green algebras.