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I was wondering what was thought of this situation.
There are two monoliths on the table, they have either started on the table, or deep struck in. You finish your complete turn, the enemy player finishes his complete turn, and now its your turn, the beginning of the movement phase. Can you use each monoliths summoning ability, or can you use only one monoliths summoning ability?

You can use both, nothing in the monolith's dimensional corridor ability says anything about only being able to only use 1 per turn.