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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…
Superimposing theta structure on a generalized modular relation
Atul Dixit, Rahul Kumar
A generalized modular relation of the form , where and , is obtained in the course of evaluating an integral involving the Riemann -fu…
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…
Some Normality Criteria for Families of Holomorphic Functions of Several Complex Variables
Kuldeep Singh Charak, Rahul Kumar
We prove a Zalcman-Pang lemma in several complex variables and apply it to obtain several complex variables analogues of the known normality criteria like Lappan's five-point theor…