Dg algebras with enough idempotents, their dg modules and their derived categories

We develop the theory dg algebras with enough idempotents and their dg modules and show their equivalence with that of small dg categories and their dg modules. We introduce the concept of dg adjunction and show that the classical covariant tensor-Hom and contravariant Hom-Hom adjunctions of modules...

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Bibliographic Details
Date:2017
Main Author: Saorín, M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155937
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Dg algebras with enough idempotents, their dg modules and their derived categories / M. Saorín // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 62-137. — Бібліогр.: 25 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine