Pratip Nandi

activity

20202026

most citedOrdered field valued continuous functions with countable range

4 citations · 6 across the 7 of their papers we have counts for

collaborators

7 papers

math.GN2026

A topological view of algebraic structures in $C_{p} (X)$

Pratip Nandi, Soumajit Dey, Amrita Dey +1

This manuscript focuses on the topological behaviour of algebraic structures in $C_{p} (X)$ . Closure of ideals in $C_{p} (X)$ is determined and are used to characterise various topologic…

math.GM2023

Some familiar graphs on the rings of measurable functions

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

In this paper, replacing `equality' by 'equality almost everywhere' we modify several terms associated with the ring of measurable functions defined on a measure space $(X, \mathca…

math.GN2023

More on generalizations of topology of uniform convergence and $m$ -topology on $C (X)$

Pratip Nandi, Rakesh Bharati, Atasi Deb Ray +1

This paper conglomerates our findings on the space $C (X)$ of all real valued continuous functions, under different generalizations of the topology of uniform convergence and the $m…

math.GN2023

$U$ -topology and $m$ -topology on the ring of Measurable Functions, generalized and revisited

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

Let $M (X, A)$ be the ring of all real valued measurable functions defined over the measurable space $(X, A)$ . Given an ideal $I$ in $\mathcal{M}(X,\math…

math.GM2022

Annihilator graph of the ring $C_{P} (X)$

Pratip Nandi, Sudip Kumar Acharyya, Atasi Deb Ray

In this article, we introduce the annihilator graph of the ring $C_{P} (X)$ , denoted by $A G (C_{P} (X))$ and observe the effect of the underlying Tychonoff space $X$ o…

math.AC2021★ 2 cited

Zero-divisor graph of the rings $C_{P} (X)$ and $C_{\infty}^{P} (X)$

Sudip Kumar Acharyya, Atasi Deb Ray, Pratip Nandi

In this article we introduce the zero-divisor graphs $Γ_{P} (X)$ and $Γ_{\infty}^{P} (X)$ of the two rings $C_{P} (X)$ and $C_{\infty}^{P} (X)$ ; here $\math…

math.GN2020★ 4 cited

Ordered field valued continuous functions with countable range

Sudip Kumar Acharyya, Atasi Deb Ray, Pratip Nandi

For a Hausdorff zero-dimensional topological space $X$ and a totally ordered field $F$ with interval topology, let $C_{c} (X, F)$ be the ring of all $F -$ valued continuous functions on…

A topological view of algebraic structures in Cp​(X)

Some familiar graphs on the rings of measurable functions

More on generalizations of topology of uniform convergence and m-topology on C(X)

U-topology and m-topology on the ring of Measurable Functions, generalized and revisited

Annihilator graph of the ring CP​(X)