http://dbpedia.org/ontology/abstract
|
In algebra, a presentation of a monoid (or … In algebra, a presentation of a monoid (or a presentation of a semigroup) is a description of a monoid (or a semigroup) in terms of a set Σ of generators and a set of relations on the free monoid Σ∗ (or the free semigroup Σ+) generated by Σ. The monoid is then presented as the quotient of the free monoid (or the free semigroup) by these relations. This is an analogue of a group presentation in group theory. As a mathematical structure, a monoid presentation is identical to a string rewriting system (also known as a semi-Thue system). Every monoid may be presented by a semi-Thue system (possibly over an infinite alphabet). A presentation should not be confused with a representation.uld not be confused with a representation.
|
http://dbpedia.org/ontology/wikiPageID
|
6730121
|
http://dbpedia.org/ontology/wikiPageLength
|
4878
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1066540038
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Free_monoid +
, http://dbpedia.org/resource/Binary_relation +
, http://dbpedia.org/resource/Algebra +
, http://dbpedia.org/resource/Category:Semigroup_theory +
, http://dbpedia.org/resource/Ronald_V._Book +
, http://dbpedia.org/resource/Group_theory +
, http://dbpedia.org/resource/Semigroup +
, http://dbpedia.org/resource/String_rewriting_system +
, http://dbpedia.org/resource/Equivalence_relation +
, http://dbpedia.org/resource/Congruence_relation +
, http://dbpedia.org/resource/Monoid_congruence +
, http://dbpedia.org/resource/Binary_function +
, http://dbpedia.org/resource/Wagner_congruence +
, http://dbpedia.org/resource/Representation_theory +
, http://dbpedia.org/resource/Monoid +
, http://dbpedia.org/resource/Plactic_monoid +
, http://dbpedia.org/resource/Group_presentation +
, http://dbpedia.org/resource/Free_monoid_with_involution +
, http://dbpedia.org/resource/Quotient_monoid +
, http://dbpedia.org/resource/Bicyclic_monoid +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Confusing +
, http://dbpedia.org/resource/Template:Math +
, http://dbpedia.org/resource/Template:ISBN +
, http://dbpedia.org/resource/Template:Mvar +
, http://dbpedia.org/resource/Template:Reflist +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Semigroup_theory +
|
http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/Description +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Presentation_of_a_monoid?oldid=1066540038&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Presentation_of_a_monoid +
|
owl:sameAs |
http://rdf.freebase.com/ns/m.0gkznj +
, http://www.wikidata.org/entity/Q7240991 +
, http://dbpedia.org/resource/Presentation_of_a_monoid +
, https://global.dbpedia.org/id/4tMeV +
|
rdf:type |
http://dbpedia.org/ontology/Stadium +
|
rdfs:comment |
In algebra, a presentation of a monoid (or … In algebra, a presentation of a monoid (or a presentation of a semigroup) is a description of a monoid (or a semigroup) in terms of a set Σ of generators and a set of relations on the free monoid Σ∗ (or the free semigroup Σ+) generated by Σ. The monoid is then presented as the quotient of the free monoid (or the free semigroup) by these relations. This is an analogue of a group presentation in group theory. A presentation should not be confused with a representation.uld not be confused with a representation.
|
rdfs:label |
Presentation of a monoid
|