The book ABSTRACT ALGEBRA VOLUME-1 is consists of five chapters. In chapter 1, we have discussed Equivalence Relations and Partisans, functions and Binary Operations or Binary Compositions. In Chapters 2, we have discussed definition of groups, theorems and examples of groups. In Chapters 3, we have discussed Homomorphisms and Permutations of groups. In Chapters 4, contains definition of Subgroups, theorems and examples of Subgroups. In Chapters 5, is devoted Ring theory. Also at the of every chapters, multiple objective questions are discussed.