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You can try visiting the author's website or searching online for "Herstein Topics in Algebra solutions Chapter 6" to see if any resources are available.
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 $I = A$.
We hope you find these resources helpful in your study of abstract algebra!
: Chapter 6 links heavily to the properties of polynomial rings over fields (Chapter 5), especially regarding roots of characteristic polynomials Reliable Resources for Solutions
It is a common frustration: you are stuck on Problem 12, Section 6.3, and you just want to check your logic. The reality is that an "official" PDF of solutions does not exist. Most resources found online fall into three categories:
You can try visiting the author's website or searching online for "Herstein Topics in Algebra solutions Chapter 6" to see if any resources are available.
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 $I = A$.
We hope you find these resources helpful in your study of abstract algebra!
: Chapter 6 links heavily to the properties of polynomial rings over fields (Chapter 5), especially regarding roots of characteristic polynomials Reliable Resources for Solutions
It is a common frustration: you are stuck on Problem 12, Section 6.3, and you just want to check your logic. The reality is that an "official" PDF of solutions does not exist. Most resources found online fall into three categories: