Derived tame and derived wild algebras

We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild.

Збережено в:
Бібліографічні деталі
Дата:2018
Автор: Drozd, Yuriy A.
Формат: Стаття
Мова:Англійська
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/980
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Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
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author Drozd, Yuriy A.
author_facet Drozd, Yuriy A.
author_sort Drozd, Yuriy A.
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datestamp_date 2018-05-14T08:03:48Z
description We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild.
first_indexed 2025-12-02T15:41:36Z
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institution Algebra and Discrete Mathematics
language English
last_indexed 2025-12-02T15:41:36Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-9802018-05-14T08:03:48Z Derived tame and derived wild algebras Drozd, Yuriy A. derived categories, derived tame and derived wild algebras, deformations of algebras, matrix problems, representations of boxes 16G60; 15A21, 16D90, 16E05 We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild. Lugansk National Taras Shevchenko University 2018-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/980 Algebra and Discrete Mathematics; Vol 3, No 1 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/980/509 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle derived categories
derived tame and derived wild algebras
deformations of algebras
matrix problems
representations of boxes
16G60; 15A21
16D90
16E05
Drozd, Yuriy A.
Derived tame and derived wild algebras
title Derived tame and derived wild algebras
title_full Derived tame and derived wild algebras
title_fullStr Derived tame and derived wild algebras
title_full_unstemmed Derived tame and derived wild algebras
title_short Derived tame and derived wild algebras
title_sort derived tame and derived wild algebras
topic derived categories
derived tame and derived wild algebras
deformations of algebras
matrix problems
representations of boxes
16G60; 15A21
16D90
16E05
topic_facet derived categories
derived tame and derived wild algebras
deformations of algebras
matrix problems
representations of boxes
16G60; 15A21
16D90
16E05
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/980
work_keys_str_mv AT drozdyuriya derivedtameandderivedwildalgebras