No, a Set is not a summon, summon negation cards cannot be used against it.
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If a monster is set you cannot activate it. "Torrential Tribute" can only activate when any player performs a flip summon, normal summon, Ritual summon, Fusion summon or Special summon, but a set is different from a summon so you cannot activate "Torrential Tribute". The same applies to other cards that activate when a monster is summoned (like "Bottomless Trap Hole" and "Solemn Judgment").
Setting is similar, yet not identical to normal summoning. a normal summon is when you Summon a monster onto the field in face-up attack position, whereas a set is when you normal summon a monster in face-down defense position. When a monster is set, it is not yet considered a summoned monster.
Yes it can, if appropriate. Great Maju Garzett's ATK is set by a continuous effect, which is applied immediately as soon as the monster is successfully summoned. The process looks like this:- Player A tributes a monster and places Great Maju Garzett on the field.- Both players have a chance to negate Great Maju Garzett's summon. If neither player does, it is considered to be successfully summoned.- Any of the monster's continuous effects will now apply. Great Maju Garzett's ATK will be set, it is considered to have been 'summoned with' this value.- Now both players can respond to the summon. If Great Maju Garzett's ATK is high enough, then Bottomless Trap Hole can be used.
No, Synchro material must be face-up.
Yes, monsters may be 'tribute set'.