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Vietnam Journal of Mathematics 36:3(2008) 261-270

d-Koszul Block Modules

Jia-Feng Lü

Abstract.  Let M be a weakly d-Koszul module and let G(M) be its associated graded module. We give some relations between the minimal projective resolutions of such M and G(M). Moreover, the notion of d-Koszul block module is introduced. For a perfect graded module M, we show that M is a d-Koszul block module if and only if the Koszul dual E(M) = Extⁱ_A(M, A₀), is finitely 0-generated as a graded E(A) = Extⁱ_A(A₀, A₀) -module.

2000 Mathematics Subject Classification: 16E05, 16E40, 16S37, 16W50.

Keywords: d-Koszul algebras, weakly d-Koszul modules, d-Koszul block modules.

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Published by Springer since January 2013