On the j-algebra

Abstract

We introduced a novel algebraic structure in this study with two operations, also known as y-algebras, defined its ideals and investigated a few of its properties. In particular, we showed that if is(c; +, -, 0) is a y-algebra, then (c; +) is a semigroup using identity 0. Additionally, we discussed how ideals and congruences relate to one another. We also discussed the subgroup,homomorphism and investigated some theories.