Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Free_monoid> ?p ?o }
- Free_monoid abstract "In abstract algebra, the free monoid on a set is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from that set, with string concatenation as the monoid operation and with the unique sequence of zero elements, often called the empty string and denoted by ε or λ, as the identity element. The free monoid on a set A is usually denoted A∗. The free semigroup on A is the subsemigroup of A∗ containing all elements except the empty string. It is usually denoted A+.More generally, an abstract monoid (or semigroup) S is described as free if it is isomorphic to the free monoid (or semigroup) on some set.As the name implies, free monoids and semigroups are those objects which satisfy the usual universal property defining free objects, in the respective categories of monoids and semigroups. It follows that every monoid (or semigroup) arises as a homomorphic image of a free monoid (or semigroup). The study of semigroups as images of free semigroups is called combinatorial semigroup theory.".
- Free_monoid wikiPageID "523166".
- Free_monoid wikiPageLength "22230".
- Free_monoid wikiPageOutDegree "72".
- Free_monoid wikiPageRevisionID "690788905".
- Free_monoid wikiPageWikiLink Abstract_algebra.
- Free_monoid wikiPageWikiLink Automata_theory.
- Free_monoid wikiPageWikiLink Band_(mathematics).
- Free_monoid wikiPageWikiLink Bird–Meertens_formalism.
- Free_monoid wikiPageWikiLink Bit.
- Free_monoid wikiPageWikiLink Cambridge_University_Press.
- Free_monoid wikiPageWikiLink Cardinality.
- Free_monoid wikiPageWikiLink Category:Combinatorics_on_words.
- Free_monoid wikiPageWikiLink Category:Formal_languages.
- Free_monoid wikiPageWikiLink Category:Free_algebraic_structures.
- Free_monoid wikiPageWikiLink Category:Semigroup_theory.
- Free_monoid wikiPageWikiLink Category_(mathematics).
- Free_monoid wikiPageWikiLink Circular_shift.
- Free_monoid wikiPageWikiLink Combinatorics.
- Free_monoid wikiPageWikiLink Computer_science.
- Free_monoid wikiPageWikiLink Concatenation.
- Free_monoid wikiPageWikiLink Conjugacy_class.
- Free_monoid wikiPageWikiLink Empty_string.
- Free_monoid wikiPageWikiLink Endomorphism.
- Free_monoid wikiPageWikiLink Fold_(higher-order_function).
- Free_monoid wikiPageWikiLink Formal_language.
- Free_monoid wikiPageWikiLink Free_group.
- Free_monoid wikiPageWikiLink Free_object.
- Free_monoid wikiPageWikiLink Function_composition.
- Free_monoid wikiPageWikiLink Fundamental_theorem_of_arithmetic.
- Free_monoid wikiPageWikiLink Hilberts_basis_theorem.
- Free_monoid wikiPageWikiLink Idempotence.
- Free_monoid wikiPageWikiLink Identity_element.
- Free_monoid wikiPageWikiLink Identity_function.
- Free_monoid wikiPageWikiLink Image_(mathematics).
- Free_monoid wikiPageWikiLink Isomorphism.
- Free_monoid wikiPageWikiLink Kleene_star.
- Free_monoid wikiPageWikiLink Levis_lemma.
- Free_monoid wikiPageWikiLink List_(abstract_data_type).
- Free_monoid wikiPageWikiLink MapReduce.
- Free_monoid wikiPageWikiLink Map_(higher-order_function).
- Free_monoid wikiPageWikiLink Monoid.
- Free_monoid wikiPageWikiLink Morphism.
- Free_monoid wikiPageWikiLink Multiset.
- Free_monoid wikiPageWikiLink Natural_number.
- Free_monoid wikiPageWikiLink Parallel_computing.
- Free_monoid wikiPageWikiLink Prefix_code.
- Free_monoid wikiPageWikiLink Prime_number.
- Free_monoid wikiPageWikiLink Regular_language.
- Free_monoid wikiPageWikiLink Section_(category_theory).
- Free_monoid wikiPageWikiLink Semigroup.
- Free_monoid wikiPageWikiLink Semilattice.
- Free_monoid wikiPageWikiLink Sequence.
- Free_monoid wikiPageWikiLink Set_(mathematics).
- Free_monoid wikiPageWikiLink Springer_Science+Business_Media.
- Free_monoid wikiPageWikiLink String_operations.
- Free_monoid wikiPageWikiLink Sturmian_word.
- Free_monoid wikiPageWikiLink Substring.
- Free_monoid wikiPageWikiLink Trace_monoid.
- Free_monoid wikiPageWikiLink Universal_property.
- Free_monoid wikiPageWikiLink Wojciech_Szpankowski.
- Free_monoid wikiPageWikiLink File:Example_of_strings_equidivisibility.gif.
- Free_monoid wikiPageWikiLinkText "Free monoid".
- Free_monoid wikiPageWikiLinkText "Free monoid#Equidivisibility".
- Free_monoid wikiPageWikiLinkText "Free monoid#Free hull".
- Free_monoid wikiPageWikiLinkText "Free monoid#Morphisms".
- Free_monoid wikiPageWikiLinkText "Free monoid#Test sets".
- Free_monoid wikiPageWikiLinkText "Free monoid#The free commutative monoid".
- Free_monoid wikiPageWikiLinkText "Free_monoid#The_free_commutative_monoid".
- Free_monoid wikiPageWikiLinkText "free commutative monoid".
- Free_monoid wikiPageWikiLinkText "free monoid".
- Free_monoid wikiPageWikiLinkText "free".
- Free_monoid date "August 2013".
- Free_monoid reason "At least, a reference to a definition of 'homomorphic pre-image' and a reference to a proof should be added here. Also, rephrasing the sentence in singular may improve clarity.".
- Free_monoid reason "Define 'primitive substitution' and 'balanced'; indicate whether the notion of a 'sturmian substitution' is subsumed by the definition of a 'sturmian endomorphism' or whether is something different.".
- Free_monoid reason "Give a definition of 'graded monoid' or a reference to it. A Wikipedia article 'graded ring' exists, but it doesn't define graded monoids. In case 'graded' is meant just informally, the sentence should better be rephrased as e.g. 'Due to this additional functionality, some authors call a free monoid a ⟨graded⟩ one.'".
- Free_monoid reason "Up to here, string projection has been defined only for single letters, not for arbitrary strings. However, the empty string ε is not a letter.".
- Free_monoid wikiPageUsesTemplate Template:Citation.
- Free_monoid wikiPageUsesTemplate Template:Clarify.
- Free_monoid wikiPageUsesTemplate Template:Cn.
- Free_monoid wikiPageUsesTemplate Template:Reflist.
- Free_monoid wikiPageUsesTemplate Template:Unreferenced_section.
- Free_monoid subject Category:Combinatorics_on_words.
- Free_monoid subject Category:Formal_languages.
- Free_monoid subject Category:Free_algebraic_structures.
- Free_monoid subject Category:Semigroup_theory.
- Free_monoid hypernym Monoid.
- Free_monoid type Language.
- Free_monoid type Combinatoric.
- Free_monoid type Language.
- Free_monoid type Structure.
- Free_monoid comment "In abstract algebra, the free monoid on a set is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from that set, with string concatenation as the monoid operation and with the unique sequence of zero elements, often called the empty string and denoted by ε or λ, as the identity element. The free monoid on a set A is usually denoted A∗. The free semigroup on A is the subsemigroup of A∗ containing all elements except the empty string.".
- Free_monoid label "Free monoid".
- Free_monoid sameAs Q5500266.
- Free_monoid sameAs Volný_monoid.
- Free_monoid sameAs Monoide_livre.
- Free_monoid sameAs m.02l8lg.
- Free_monoid sameAs Q5500266.
- Free_monoid sameAs 自由么半群.
- Free_monoid wasDerivedFrom Free_monoid?oldid=690788905.
