Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Triangulated categories of periodic complexes and orbit categories - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Triangulated categories of periodic complexes and orbit categories

From MaRDI portal
Publication:6175170

DOI10.21136/CMJ.2023.0234-22arXiv2109.08831OpenAlexW3200139037MaRDI QIDQ6175170

Author name not available (Why is that?)

Publication date: 17 August 2023

Published in: (Search for Journal in Brave)

Abstract: We investigate the triangulated hull of the orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor. It turns out that the triangulated hull will correspond to the full subcategory of compact objects of certain triangulated categories of periodic complexes. This specializes to Stai and Zhao's result when the ring is a finite dimensional algebra with finite global dimension over a field. As the first application, if A,B are flat algebras over a commutative ring and they are derived equivalent, then the corresponding derived categories of n-periodic complexes are triangle equivalent. As the second application, we get the periodic version of the Koszul duality.


Full work available at URL: https://arxiv.org/abs/2109.08831



zbMATH Keywords

No records found.


Mathematics Subject Classification ID

No records found.








This page was built for publication: Triangulated categories of periodic complexes and orbit categories

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6175170)

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Publication:6175170&oldid=35657803"
Powered by MediaWiki