On Ringoids Associated with B− Algebras and its Quotient Structure

In this paper, we introduce the concept of a ring-like algebraic structure associated with a B−algebra, termed a BA−ringoid, and establish several of its fundamental properties that are reminiscent of classical rings. In addition, we construct quotient structures for BA−ringoids by defining suitable equivalence relations, offering a broader perspective on how these systems can be partitioned and analyzed.