rig

A rig $(R,+,\\cdot)$ is a set $R$ together with two binary operations $+:R^{2}\\to R:(a,b)\\mapsto a+b$ and $\\cdot:R^{2}\\to R:(a,b)\\mapsto ab$ , such that both $(R,+)$ and $(R,\\cdot)$ are monoids, where $\\cdot$ distributes over $+$ . That is if $\\{a,b,c,d\\}\\subset R$ then $(a+b)(c+d)=ac+ad+bc+bd$ . The natural numbers with ordinary addition and multiplication $(\\mathbf{N},+,\\cdot)$ is a rig.

A rig $(R,+,\\cdot)$ is a ring if $(R,+)$ is a group. The integers with ordinary addition and multiplication $(\\mathbf{Z},+,\\cdot)$ is a ring.

单词	Rig
释义	rig A rig $(R,+,\\cdot)$ is a set $R$ together with two binary operations $+:R^{2}\\to R:(a,b)\\mapsto a+b$ and $\\cdot:R^{2}\\to R:(a,b)\\mapsto ab$ , such that both $(R,+)$ and $(R,\\cdot)$ are monoids, where $\\cdot$ distributes over $+$ . That is if $\\{a,b,c,d\\}\\subset R$ then $(a+b)(c+d)=ac+ad+bc+bd$ . The natural numbers with ordinary addition and multiplication $(\\mathbf{N},+,\\cdot)$ is a rig. A rig $(R,+,\\cdot)$ is a ring if $(R,+)$ is a group. The integers with ordinary addition and multiplication $(\\mathbf{Z},+,\\cdot)$ is a ring.
随便看	quadratic variation of a semimartingale QuadraticVariationOfBrownianMotion quadratic variation of Brownian motion Quadrature quadrature Quadrilateral quadrilateral Quandles quandles Quantale quantale Quantifier quantifier QuantifierAlgebra quantifier algebra QuantifierFree quantifier free Quantization quantization QuantumAlgebraicTopologyTopics quantum algebraic topology topics QuantumAutomataAndComputation quantum automata and computation QuantumChromodynamicsQCD quantum chromodynamics (QCD)