In this task, you're given a pair of sentences, sentence 1 and sentence 2. Your job is to determine if the two sentences clearly agree/disagree with each other, or if this can't be determined. Indicate your answer as yes or no respectively.

Sentence 1: When Roman power split in two, the eastern Byzantine Empire inherited the island (though its hold on islands in the south of its dominion were, in reality, nominal). Sentence 2: The Byzantine Empire held the island after the schism between Roman factions.
yes