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Pure resolutions of unbounded complexes of modules

2016/08/24 by Abhishek Banerjee, Banerjee, Abhishek
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1608.06687

Abstract

Let R be a commutative ring. We show that pure injective resolutions and pure projective resolutions can be constructed for unbounded complexes of R-modules. We use these to obtain a closed symmetric monoidal structure on the unbounded pure derived category.

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