English

Homological Epimorphisms of Differential Graded Algebras

Rings and Algebras 2010-06-03 v1

Abstract

Let R and S be differential graded algebras. In this paper we give a characterisation of when a differential graded R-S-bimodule M induces a full embedding of derived categories M\otimes - :D(S)--> D(R). In particular, this characterisation generalises the theory of Geigle and Lenzing's homological epimorphisms of rings. Furthermore, there is an application of the main result to Dwyer and Greenlees's Morita theory.

Keywords

Cite

@article{arxiv.0705.0118,
  title  = {Homological Epimorphisms of Differential Graded Algebras},
  author = {David Pauksztello},
  journal= {arXiv preprint arXiv:0705.0118},
  year   = {2010}
}

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14 pages