A generalized Koszul theory and its relation to the classical theory

作者：Li Liping^*

来源：Journal of Algebra, 2014, 420: 217-241.

DOI：10.1016/j.jalgebra.2014.08.006

• Koszul algebras
• Koszul modules
• Directed categories
• Standardly stratified algebras

Let A = circle plus(i %26gt;= 0) A(i) be a graded locally finite k-algebra where A(0) is a finite dimensional algebra whose finitistic dimension is 0. In this paper we develop a generalized Koszul theory preserving many classical results, and show an explicit correspondence between this generalized theory and the classical theory. Applications in representations of certain categories and extension algebras of standard modules of standardly stratified algebras are described.

• 出版日期2014-12-15