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	percentile PerfectAndSemiperfectRings perfect and semiperfect rings PerfectBilinearForm perfect bilinear form PerfectCode perfect code PerfectField perfect field PerfectGroup perfect group PerfectNumber perfect number PerfectPower perfect power PerfectRuler perfect ruler PerfectSet perfect set PerfectTotientNumber perfect totient number PerimeterOfAstroid perimeter of astroid Period period