Dg algebras with enough idempotents, their dg modules and their derived categories
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dg algebras with enough idempotents, their dg modules and their derived categories
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| Creator |
Saorín, M.
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| Description |
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 over associative unital algebras are extended as dg adjunctions between categories of dg bimodules. The corresponding adjunctions of the associated triangulated functors are studied, and we investigate when they are one-sided parts of bifunctors which are triangulated on both variables. We finally show that, for a dg algebra with enough idempotents, the perfect left and right derived categories are dual to each other.
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| Date |
2019-06-17T15:36:49Z
2019-06-17T15:36:49Z 2017 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:Primary 16E45, 18E30; Secondary 16E35, 18E25. http://dspace.nbuv.gov.ua/handle/123456789/155937 |
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en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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