Definition of Operad. Meaning of Operad. Synonyms of Operad

Here you will find one or more explanations in English for the word Operad. Also in the bottom left of the page several parts of wikipedia pages related to the word Operad and, of course, Operad synonyms and on the right images related to the word Operad.

Definition of Operad

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Meaning of Operad from wikipedia

- In mathematics, an operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs (arguments) and one output...
- In the theory of operads in algebra and algebraic topology, an Aāˆž-operad is a parameter space for a multiplication map that is homotopy coherently ****ociative...
- In the theory of operads in algebra and algebraic topology, an Eāˆž-operad is a parameter space for a multiplication map that is ****ociative and commutative...
- algebra, an operad algebra is an "algebra" over an operad. It is a generalization of an ****ociative algebra over a commutative ring R, with an operad replacing...
- In mathematics, the Lie operad is an operad whose algebras are Lie algebras. The notion (at least one version) was introduced by Ginzburg & Kapranov (1994)...
- More abstractly, in the language of operad theory, one can consider vector spaces to be algebras over the operad R āˆž {\displaystyle \mathbf {R} ^{\infty...
- In algebra, a higher-order operad is a higher-dimensional generalization of an operad. Opetope Heuts, Gijs; Hinich, Vladimir; Moerdijk, Ieke (2016). "On...
- introduced the notion of a quadratic operad and defined the quadratic dual of such an operad. Very roughly, an operad is an algebraic structure consisting...
- algebra over the little interval operad. This is an example of an A āˆž {\displaystyle A_{\infty }} -operad, i.e. an operad of topological spaces which is...
- in particular, for the May spectral sequence and for coining the term operad. May received a Bachelor of Arts degree from Swarthmore College in 1960...