Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Rings & Ideals
Which of the following statements is necessarily true for a commutative ring R with unity?
1
If I is prime ideal in R, then R/I is an integral domain.
2
Every ideal in R is a maximal ideal.
3
A commutative ring R can have a prime ideal but not a maximal ideal.
4
R may have no maximal ideals