Hyperstructure (original) (raw)
Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called – structures. A hyperoperation on a nonempty set is a mapping from to the nonempty power set , meaning the set of all nonempty subsets of , i.e. For we define and is a semihypergroup if is an associative hyperoperation, i.e. for all Furthermore, a hypergroup is a semihypergroup , where the is valid, i.e. for all
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| dbo:abstract | Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called – structures. A hyperoperation on a nonempty set is a mapping from to the nonempty power set , meaning the set of all nonempty subsets of , i.e. For we define and is a semihypergroup if is an associative hyperoperation, i.e. for all Furthermore, a hypergroup is a semihypergroup , where the is valid, i.e. for all (en) |
| dbo:wikiPageExternalLink | http://www.worldscientific.com/worldscibooks/10.1142/8481 http://aha.eled.duth.gr https://books.google.com/books%3Fid=uvCrZ3iGur4C |
| dbo:wikiPageID | 1938461 (xsd:integer) |
| dbo:wikiPageLength | 1933 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1116065447 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:Power_set dbr:Algebraic_structure dbr:Empty_set dbc:Abstract_algebra dbr:Associative dbr:Set_(mathematics) dbr:Multi-valued dbr:Reproduction_axiom |
| dbp:wikiPageUsesTemplate | dbt:About dbt:ISBN dbt:Reflist dbt:Abstract-algebra-stub |
| dcterms:subject | dbc:Abstract_algebra |
| rdfs:comment | Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called – structures. A hyperoperation on a nonempty set is a mapping from to the nonempty power set , meaning the set of all nonempty subsets of , i.e. For we define and is a semihypergroup if is an associative hyperoperation, i.e. for all Furthermore, a hypergroup is a semihypergroup , where the is valid, i.e. for all (en) |
| rdfs:label | Hyperstructure (en) |
| owl:sameAs | freebase:Hyperstructure wikidata:Hyperstructure https://global.dbpedia.org/id/4nYzj |
| prov:wasDerivedFrom | wikipedia-en:Hyperstructure?oldid=1116065447&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Hyperstructure |
| is dbo:wikiPageDisambiguates of | dbr:Hyper |
| is dbo:wikiPageRedirects of | dbr:HYPERSTRUCTURES dbr:Hyperoperation_(group_theory) dbr:Hyperstructures dbr:Hypergroup dbr:Semihypergroup |
| is dbo:wikiPageWikiLink of | dbr:Frédéric_Marty dbr:HYPERSTRUCTURES dbr:Hyper dbr:Hyperoperation_(group_theory) dbr:Hyperstructures dbr:Hypergroup dbr:Semihypergroup |
| is foaf:primaryTopic of | wikipedia-en:Hyperstructure |