English

Pure resolutions of unbounded complexes of modules

Rings and Algebras 2016-08-25 v1 Commutative Algebra

Abstract

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

Keywords

Cite

@article{arxiv.1608.06687,
  title  = {Pure resolutions of unbounded complexes of modules},
  author = {Abhishek Banerjee},
  journal= {arXiv preprint arXiv:1608.06687},
  year   = {2016}
}

Comments

22 pages