R/M is a Feild if and only M is a Maximal Ideal || Theorem || Ring Theory

In this video, we prove the famous theorem in Ring Theory: 👉 R/M is a field if and only if M is a maximal ideal. This is a fundamental result in Abstract Algebra and is very important for competitive and university-level exams. The proof is explained step by step to make it clear and easy for students preparing for: CSIR NET / JRF Mathematics IIT JAM Mathematics GATE Mathematics TIFR & NBHM Entrance Exams MSc & PhD Entrance Tests (India & Pakistan) This theorem connects the concept of maximal ideals with fields, making it a key result in higher algebra. If you are studying Ring Theory, Abstract Algebra, or Group Theory, this lecture will strengthen your understanding and exam preparation. 🔔 Subscribe for more proofs, theorems, and solved problems in Abstract Algebra & Ring Theory.