In　this　paper,　we　make　the　first　attempt　to　figure　out　the　differences　on　H　&　ouml;lder　regularity　in　time　of　solutions　and　conserved　physical　quantities　between　the　ideal　electron　magnetohydrodynamic　equations　concerning　Hall　term　and　the　incompressible　Euler　equations　involving　convection　term.　alpha　is　shown　that　the　regularity　in　time　of　magnetic　field　B　is　C-t(alpha/2)　provided　it　belongs　to　(LtCx　alpha)-C-infinity　alpha　for　any　alpha　＞　0,　its　energy　is　C-t(2　alpha/2-alpha)　as　long　as　B　belongs　to　L-t(infinity)　B-3,infinity(alpha)　for　any　0　＜　alpha　＜　1　and　its　magnetic　helicity　is　C-t(2　alpha+1/2-alpha)　supposing　B　t　belongs　to　L-t(infinity)　B(3,infinity　)(alpha)for　any　0　＜　alpha　＜　2　1　,　which　are　quite　different　from　the　t　classical　incompressible　Euler　equations.