If R is commutative ring with unity then M is maximal ideal of R iff R mod M is a field

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M is a maximal ideal of a ring R if and only if R/M is a field. Lecture 12. M is a maximal ideal of a ring R if and only if R/M is a field. Lecture 12.
I is a Maximal Ideal iff R/I is a Field Proof I is a Maximal Ideal iff R/I is a Field Proof
Proof: Prime Ideal iff R/P is Integral Domain; Maximal iff R/M is Field Proof: Prime Ideal iff R/P is Integral Domain; Maximal iff R/M is Field
Maximal Ideals Maximal Ideals
R is a commutative Ring with Unity, M is an ideal of R then M is maximal ideal of R⟺R/M is a field R is a commutative Ring with Unity, M is an ideal of R then M is maximal ideal of R⟺R/M is a field
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M is Maximal if and only if R/M is a Field (Algebra 1: Lecture 30 Video 3) M is Maximal if and only if R/M is a Field (Algebra 1: Lecture 30 Video 3)
If M maximal ideal commutative ring R with identity,prove R/M field.M.Sc.AA-I-24.HUKAM RAJ BHAGAT. If M maximal ideal commutative ring R with identity,prove R/M field.M.Sc.AA-I-24.HUKAM RAJ BHAGAT.