2004/09/09 by E. L. Green, Edward L. Green, Gregory Hartman +5 · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.RA #math.RT #msc:16E05 #msc:16S37 #msc:16W50
paper · pdf · doi:10.1007/s00013-005-1299-9
published as Arch. Math., 85 (2005), no. 2, 118-127
arxiv created 2004/09/09 · openalex publication_date 2005/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show that if Λ=\amalgi≥ 0Λi is a Koszul algebra with Λ0 isomorphic to a product of copies of a field, then the minimal projective resolution of Λ0 as a right Λ-module provides all the information necessary to construct both a minimal projective resolution of Λ0 as a left Λ-module and a minimal projective resolution of Λ as a right module over the enveloping algebra of Λ. The main tool for this is showing that there is a comultiplicative structure on a minimal projective resolution of Λ0 as a right Λ-module.