This chapter deals with algebraic structures with two binary operations and bridges between them. The chapter defines Ring and its types, subring, integral domain, field, homomorphism of rings and polynomial rings by using the “BEIMI” philosophy. Moreover, it includes precise examples and related theories for the better understanding of the readers. It also includes the similarities and differences among the algebraic structures connected by two binary operations. The chapter concludes with case studies, projects and exercises designed to bridge the gap between theoretical algebraic structures and their multidisciplinary applications.