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
Cardinalities of \(\sigma\)-complete OML's - 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

Cardinalities of \(\sigma\)-complete OML's (Q1905982)

From MaRDI portal





scientific article; zbMATH DE number 836817
Language Label Description Also known as
English
Cardinalities of \(\sigma\)-complete OML's
scientific article; zbMATH DE number 836817

    Statements

    title
    Cardinalities of \(\sigma\)-complete OML's (English)
    0 references
    author
    Yanyan Li
    0 references
    publication date
    2 May 1996
    0 references
    review text
    The author shows that an infinite cardinal \(\kappa\) is the cardinality of a \(\sigma\)-complete OML having a bounded number of complements iff \(\kappa = \kappa^\omega\). In general, this result is not true for OMLs without an assumption on the number of complements, see Chinese lantern \(\text{OM}_\kappa\). In addition, this result is generalized to modular ortholattices.
    0 references
    zbMATH Keywords
    sigma-complete orthomodular lattice
    0 references
    bounded number of complements
    0 references
    modular ortholattices
    0 references

    Identifiers

    DOI
    10.1007/BF01182091
    0 references
    Mathematics Subject Classification ID
    06C15
    0 references
    03G12
    0 references
    81P10
    0 references
    zbMATH DE Number
    836817
    0 references
     
    Retrieved from "https://mardi.schubotz.org/w/index.php?title=Item:Q1905982&oldid=43601194"
    Powered by MediaWiki