A Note on Derived Equivalences for Φ-Green Algebras

In this note, we construct derived equivalences for Φ-Green algebras from a class of triangles in algebraic triangulated categories, where Φ is a finite admissible set of a set ℕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {N}$\end{document} of the natural numbers.