Binoid: M=F(N)⋆:=(F(N),⋆,N×,N), F⋆G:=Filt(F+G), F,G∈F(N){\displaystyle {}M={\mathcal {F}}(N)_{\star }:=({\mathcal {F}}(N),\star ,N^{\times },N){\text{, }}F\star G:=Filt(F+G){\text{, }}F,G\in {\mathcal {F}}(N)}.
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