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	trace Trace1 Traceable traceable TraceFormsOnAlgebras trace forms on algebras TraceFormula trace formula TraceOfAMatrix trace of a matrix Tractrix tractrix TraditionalNamesForRolesInCryptography traditional names for roles in cryptography TranscendenceDegree transcendence degree TranscendentalNumber transcendental number TranscendentalRootTheorem transcendental root theorem TransferFunction transfer function TransfiniteDerivedSeries transfinite derived series TransfiniteInduction