Sahin Sk posted an Question
January 09, 2022 • 18:28 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Just prove the second one...

1. let R be a non-commutative ring with a 1. Prove that if M is an ideal of R such that every non-zero element of R/M is an unit then M is a maximal ideal. 2. Show that the converse of the above result is false by considering the ideal M2(2Z) of the ring M2(Z).

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