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On generation and implicit partial operations in locally presentable 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

On generation and implicit partial operations in locally presentable categories (Q1272543)

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scientific article; zbMATH DE number 1234346
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English
On generation and implicit partial operations in locally presentable categories
scientific article; zbMATH DE number 1234346

    Statements

    On generation and implicit partial operations in locally presentable categories (English)
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    31 May 1999
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    In categories of models of limit-theories (in effect, concrete locally presentable categories), the author describes the subobject, resp. strong (extremal) subobject, resp. regular subobject, generated by a set. There follow criteria for all monics (all epics) to be strong, for all strong monics to be coequalizers, and for all strong epics to be surjective.
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    set-generated subobjects
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    models of limit-theories
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    locally presentable categories
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    strong monics
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    strong epics
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