4 citations · 6 across the 14 of their papers we have counts for
4 papers · 2 filters
Maximal non valuative domains
Rahul Kumar, Atul Gaur
The notion of maximal non valuative domain is introduced and characterized. An integral domain R is called a maximal non valuative domain if R is not a valuative domain but every p…
On minimal ring extensions
Rahul Kumar, Atul Gaur
Let be a commutative ring with identity. The ring can be viewed as an extension of via the diagonal map , given by $Δ(r) = (r, r…
Comment on "Two notes on imbedded prime divisors"
Rahul Kumar, Atul Gaur
In this note, we show that a part of [5, Remark 2.2] is not correct. Some conditions are given under which the same holds.
A note on pairs of rings with same prime ideals
Rahul Kumar, Atul Gaur
We study the ring extensions R \subseteq 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 prope…