Several unofficial solution guides and "papers" are available online for Abstract Algebra (3rd Edition)
If you are stuck on a specific, "star-rated" problem, Mathematics StackExchange is your best friend. By searching the specific problem number (e.g., "Dummit and Foote Section 12.1 Exercise 5"), you will almost certainly find a detailed discussion. The advantage here is the "why" behind the proof is often explained in the comments. 4. Slader / Quizlet (Formerly) solutions to abstract algebra dummit and foote
: Since $I$ is an ideal, it is closed under multiplication by elements of $R$. Therefore, $ab \in I$. and critiqued on MSE.
Math Stack Exchange (MSE) has a dedicated tag [dummit-foote] . Virtually every exercise from the textbook has been asked, answered, and critiqued on MSE. solutions to abstract algebra dummit and foote