International Journal of Academic and Applied Research (IJAAR)   Year: 2020 | Volume: 4 | Issue: 10 | Page No.: 79-87 Prime Ideal in Q-Algebra Habeeb Kareem Abdullah and Mortda Taeh Abstract: In this paper ,we presented a summary of the definition of prime ideal in Q-algebra and what is related to the generated ideal and the finite n- steructer in Q-algebra.