University of Garmian Passer Journal of Basic and Applied Sciences 27065944 8 2 2026 07 01 Cubic Q-positive implicative ideals in Q-algebras. 749 755 244211 10.24271/psr.2026.572190.2563 EN Hussein Abbas Habib Department of Mathematics, Ibn-Al-Haitham college of Education, University of Baghdad, Iraq 0009-0003-2801-8528 Fatema Faisal Kareem 0000-0002-6141-8721 Journal Article 2026 01 24 A cubic Q-algebra is a generalization of a fuzzy Q-algebra. This work explores important concepts in Q-algebras, including cubic Q-positive implicative ideals, cubic Q-implicative ideals, and cubic Q-commutative ideals, and investigates their fundamental properties. The most important results obtained are: In a commutative Q-algebra. If any ideal is a cubic positive Q-implicative ideal, then it is a cubic Q-implicative ideal. But the converse does not hold. There is no connection between cubic positive Q-implicative ideals and cubic Q-commutative ideals, nor is there a relationship between cubic Q-implicative ideals and cubic Q-commutative ideals. Any cubic Q-positive implicative ideal is a cubic BCK-ideal, and the converse statement is true under certain conditions. https://passer.garmian.edu.krd/article_244211_2d0402bc63cf18c41cf39de3d263c927.pdf