弱离散Koszul模(Weakly discrete Koszul modules)

Abstract

The discrete Koszulity of finitely generated graded modules is discussed over a discrede Koszul algebra and the notion of weakly discrete Koszul module is introduced. Let M∈gr(A),it is proved that M is a weakly discrete Koszul module if and only if M admits a chain of submodules:0 = M0⊂M1⊂M2⊂…⊂Mm=M，and then all Mi/Mi-1 [—di] are discrete Koszul modules if and only if the associated graded module G(M) is a discrete Koszul module.

Keywords

• discrete koszul algebras
• discrete koszul modules
• weakly discrete koszul modules