cm0002@lemmy.world to Comic Strips@lemmy.world · 2 months agoPerfectly balanced, as all things should be.lemmy.mlexternal-linkmessage-square40fedilinkarrow-up1599arrow-down111
arrow-up1588arrow-down1external-linkPerfectly balanced, as all things should be.lemmy.mlcm0002@lemmy.world to Comic Strips@lemmy.world · 2 months agomessage-square40fedilink
minus-squareKogasa@programming.devlinkfedilinkarrow-up2·8 days ago1 = Ω0 = Ω(Ω + Ω) = ΩΩ + ΩΩ = Ω + Ω = 0 so distributivity is out or else 1 = 0
minus-squareLeate_Wonceslace@lemmy.dbzer0.comlinkfedilinkEnglisharrow-up1·7 days agoCorrect; multiplying by Ω doesn’t distribute over addition.
minus-squareKogasa@programming.devlinkfedilinkarrow-up1·7 days agoDistributivity is a requirement for non associative algebras. So whatever structure is left is not one of those
1 = Ω0 = Ω(Ω + Ω) = ΩΩ + ΩΩ = Ω + Ω = 0
so distributivity is out or else 1 = 0
Correct; multiplying by Ω doesn’t distribute over addition.
Distributivity is a requirement for non associative algebras. So whatever structure is left is not one of those