Prime Ideal of a Ring | Urdu | Hindi

Definition of a prime ideal of a ring is given in this lecture and further, it is proved that for a commutative ring the ideal is a prime ideal if and only if its quotient ring is an integral domain, moreover every maximal ideal is a prime ideal.

[@asmaaziz6606]

Ma sha Allah like your definition thanks

[@luckyqueen130]

MashaAllah Sir G

[@ASIFRAZATAYYUB]

ماشاء االلہ

[@asifmaths]

جذاک اللہ محترم.

[@ASIFRAZATAYYUB]

Excellent work

[@asifmaths]

Thanks dear

[@amnaayoub5807]

If A is a nonzero ring then {0} is a prime ideal of A iff A is an integral domain.
Sir plz isyy prove kr dain

[@asifmaths]

Use the result stated in some lecture that I is a prime ideal iff the Quotient ring is an integral domain. Since the Quotient ring by zero ideal is the ring it self. I advise you to study books on ring theory too.

[@amnaayoub5807]

Ok sir thank you