ABSTRACT This final project discusses some properties of B-algebra and the ideal, complete ideal, n-ideal of B-algebra. There is a relation between ideal, complete ideal, and n-ideal that every ideal of B-algebra is complete ideal and every ideal of B-algebra is n-ideal. This project is a review of article of Abdullah and Athsan [Applied Mathematical Sciences, 11 (2017), 1705-1713]. Keywo…