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- Operad_theory abstract "Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra. Algebras are to operads as group representations are to groups. Originating from work in algebraic topology by Boardman and Vogt, and J. Peter May (to whom their name is due), it has more recently found many applications, drawing for example on work by Maxim Kontsevich on graph homology.An operad can be seen as a set of operations, each one having a fixed finite number of inputs (arguments) and one output, which can be composed one with others; it is a category-theoretic analog of universal algebra.The word "operad" was also created by May as a portmanteau of "operations" and "monad" (and also because his mother was an opera singer). Regarding its creation, he wrote: "The name 'operad' is a word that I coined myself, spending a week thinking of nothing else."".
- Operad_theory wikiPageExternalLink 1101.0267.
- Operad_theory wikiPageExternalLink LodayVallette.pdf.
- Operad_theory wikiPageExternalLink bookstore?fn=20&arg1=survseries&item=SURV-96.
- Operad_theory wikiPageExternalLink what-is.pdf.
- Operad_theory wikiPageExternalLink BOOKSMaster.html.
- Operad_theory wikiPageExternalLink book.html.
- Operad_theory wikiPageExternalLink 8222.html.
- Operad_theory wikiPageID "3126358".
- Operad_theory wikiPageRevisionID "601217803".
- Operad_theory hasPhotoCollection Operad_theory.
- Operad_theory subject Category:Abstract_algebra.
- Operad_theory subject Category:Category_theory.
- Operad_theory comment "Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra. Algebras are to operads as group representations are to groups.".
- Operad_theory label "Operad theory".
- Operad_theory label "Opérade".
- Operad_theory label "Операда".
- Operad_theory sameAs Opérade.
- Operad_theory sameAs 오퍼라드_이론.
- Operad_theory sameAs m.08t47y.
- Operad_theory sameAs Q842072.
- Operad_theory sameAs Q842072.
- Operad_theory wasDerivedFrom Operad_theory?oldid=601217803.
- Operad_theory isPrimaryTopicOf Operad_theory.