For students who want to check their answers or get more practice with the exercises, we provide a downloadable PDF solution manual for Chapter 6 of "Topics in Algebra". The solution manual includes detailed solutions to all exercises in the chapter.
Solution: Suppose $A$ is simple. Let $I$ be an ideal of $A$. Then $I$ is a submodule of $A$, and since $A$ is simple, $I = 0$ or $I = A$. herstein topics in algebra solutions chapter 6 pdf
Exercise 6.1: Let $M$ be a module over a ring $R$. Show that $M$ is a direct sum of cyclic modules. For students who want to check their answers