cm0002@lemmy.world to Comic Strips@lemmy.world · 2 months agoPerfectly balanced, as all things should be.lemmy.mlexternal-linkmessage-square38linkfedilinkarrow-up1598arrow-down19cross-posted to: [email protected]
arrow-up1589arrow-down1external-linkPerfectly balanced, as all things should be.lemmy.mlcm0002@lemmy.world to Comic Strips@lemmy.world · 2 months agomessage-square38linkfedilinkcross-posted to: [email protected]
minus-squareKogasalinkfedilinkarrow-up2·2 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-up1·2 days agoCorrect; multiplying by Ω doesn’t distribute over addition.
minus-squareKogasalinkfedilinkarrow-up1·1 day 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