Let R be a ring with unity such that the only right ideal of R are {0} Or R itself then prove that R

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If R has only two ideals {0} and R itself the R is Field

Let R be a commutative ring with unity whose only ideals are{0}and R.Prove R field.M.Sc.AA-l-22.HRB.

Exercise question from Chapter : 3 ''Ring Theory'' from book "Topics In Algebra''

R and {0} are Ideals in Every Ring R

If an ideal of ring with unity contains unity, then Ideal=Ring | Ring Theory/Abstract Algebra

Theorem :- if R is ring and R has no right ideal other than R and {0} then R is a divison ring.

Let R be a commutative ring with unit element whose only ideals are (0) and R then R is a field

If N (ideal of R with unity) contains a unit of R then N=R