If m and m' are maximal right ideals in a ring R, show that the (simple) right R-modules R/m and R/m' are isomorphic iff there exists an element r ∈ R\m such that rm' ⊆ m. In this case, show that m and m' contain exactly the same ideals of R.
The answer to the question is available in the PDF file https://www.assignmentexpert.com/https://www.assignmentexpert.com/homework-answers/mathematics-answer-16816.pdf
Comments
Leave a comment