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...
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algebra, an operad algebra is an "algebra" over an operad. It is a generalization of an associative algebra over a commutative ring R, with an operad replacing...
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In the theory of operads in algebra and algebraic topology, an A∞-operad is a parameter space for a multiplication map that is homotopy coherently associative...
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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)...
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In the theory of operads in algebra and algebraic topology, an E∞-operad is a parameter space for a multiplication map that is associative and commutative...
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Linear combination (section Operad theory)
More abstractly, in the language of operad theory, one can consider vector spaces to be algebras over the operad R ∞ {\displaystyle \mathbf {R} ^{\infty...
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In algebra, a higher-order operad is a higher-dimensional generalization of an operad. Opetope Heuts, Gijs; Hinich, Vladimir; Moerdijk, Ieke (2016). "On...
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Koszul duality (section Koszul duality for operads)
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...
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Highly structured ring spectrum (section Operads)
algebra over the little interval operad. This is an example of an A ∞ {\displaystyle A_{\infty }} -operad, i.e. an operad of topological spaces which is...
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Binary operation (redirect from Binary operad)
In mathematics, a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally...
9 KB (1,563 words) - 22:46, 9 August 2024