60 citations · 74 across the 13 of their papers we have counts for
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Dynamics Near An Idempotent
Md Moid Shaikh, Sourav Kanti Patra
Hindman and Leader first introduced the notion of semigroup of ultrafilters converging to zero for a dense subsemigroups of . Using the algebraic structure of the S…
-normal and -Tychonoff spaces
Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra
A space is called -normal(-Tychonoff) space if there exists a normal(Tychonoff) space and a bijection such that is homeomo…
Monochromatic sums equal to products near zero
Sourav Kanti Patra, Md Moid Shaikh
Hindman proved that, whenever the set of naturals is finitely colored, there must exist non-constant monochromatic solution of the equation . In this paper we…
D-sets in Arbitrary Semigroup
Surajit Biswas, Bedanta Bose, Sourav Kanti Patra
We define the notion of -set in an arbitrary semigroup, and with some mild restrictions we establish its dynamical and combinatorial characterizations. Assuming a weak form of c…