A classification of algebras stratified for all preorders by Koszul theory

Abstract

Let $A = \bigoplus_{i \geqslant 0} A_i$ be a graded locally finite $k$-algebra such that $A_0$ is an arbitrary finite-dimensional algebra satisfying some splitting condition. In this paper we develop a generalized Koszul theory generalizing many classical results, and use it to classify algebras stratified for all preorders.

This paper has been withdrawn by the author since it is replaced by another paper "algebras stratified for all partial orders"