2020/05/12 by Kumar, Rahul, Gaur, Atul
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2005.05959
We study the ring extensions R ⊆ T having the same set of prime ideals provided Nil(R) is a divided prime ideal. Some conditions are given under which no such T exist properly containing R. Using idealization theory, the examples are also discussed to strengthen the results.