Prime ideal
Definition:- An Ideal ( I,+,.) of the ring (R,+,.) is called a
Prime ideal if a,b € R then either a € I or b € I for all a.b € I.
Definition:- an Ideal ( I,+,.) of the ring (R,+,.) is called a
maximal ideal if I? R and whenever ( I,+,. ) is an Ideal
of R ? I ? J ? R Then J=R.
Definition:- The commutative ring is the commutative simegroup with second
operation .
Definition:- The ring with identity is simegroup with identity with second
operation