2025-02-23T13:51:52-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-153381%22&qt=morelikethis&rows=5
2025-02-23T13:51:52-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-153381%22&qt=morelikethis&rows=5
2025-02-23T13:51:52-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T13:51:52-05:00 DEBUG: Deserialized SOLR response
Some classes of directoid groups

Some classes of directoid groups

Directoid groups are 2-torsion-free abelian groups with an extra binary operation assigning upper bounds. They thus constitute a generalization of abelian l-groups and an equational substitute for directed abelian groups. We discuss some classes of directoid groups, including varieties.

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Bibliographic Details
Main Authors: Gardner, B.J., Parmenter, M.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153381
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Summary:Directoid groups are 2-torsion-free abelian groups with an extra binary operation assigning upper bounds. They thus constitute a generalization of abelian l-groups and an equational substitute for directed abelian groups. We discuss some classes of directoid groups, including varieties.

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