Sagarmoy Bag

activity

20172025

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12 papers · 1 filter

math.GN2025

The ring of real-valued functions which are continuous on a dense cozero set

Amrita Dey, Sagarmoy Bag, Dhananjoy Mandal

Let $T^{''} (X)$ and $T^{'} (X)$ denote the collections of all real-valued functions on $X$ which are continuous on a dense cozero set and on an open dense subset of $X$ respectively. $T''…

math.GN2024

Algebraic properties of the ring $C (X)_{P}$

Amrita Dey, Sagarmoy Bag, Dhananjoy Mandal

Our aim is to study certain algebraic properties of the ring $C (X)_{P}$ of real-valued functions on $X$ whose closure of discontinuity set is in an ideal of closed sets. We…

math.GN2023

Rings of functions which are discontinuous on a finite set with countable range

Achintya Singha, D. Mandal, Samir Ch Manda +1

Consider the ring $C_{c} (X)_{F}$ of real valued functions which are discontinuous on a finite set with countable range. We discuss $(Z_{c})_{F}$ -filters on $X$ and $(\mathcal{Z}_…

math.GN2023

Rings of functions whose closure of discontinuity set is in an ideal of closed sets

Amrita Dey, Sudip Kumar Acharyya, Sagarmoy Bag +1

Let $P$ be an ideal of closed subsets of a topological space $X$ . Consider the ring, $C (X)_{P}$ of real valued functions on $X$ whose closure of discontinuity set…

math.GN2021

A note on the rings of functions which are discontinuous on some finite sets

Samir Ch Mandal, Sagarmoy Bag, Dhananjoy Mandal

In this paper, we study some properties of the ring $C (X)_{F}$ of all real valued functions which are continuous except on some finite subsets of $X$ . We show that $C (X)_{F}$ is closed…

math.GN2020

$C C S$ -normal spaces

Sagarmoy Bag, Ram Chandra Manna, Asit Baran Raha

A space $X$ is called $C C S$ -normal space if there exist a normal space $Y$ and a bijection $f : X \mapsto Y$ such that $f ∣_{C} : C \mapsto f (C)$ is homeomorphism for any cellular-com…

math.GN2020

Almost separable spaces

Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra

We have defined almost separable space. We show that like separability, almost separability is $c$ productive and converse also true under some restrictions. We establish a Baire C…

math.GN2020

Intermediate rings of complex-valued continuous functions

Amrita Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1

Let $Σ (X, C)$ denote the collection of all the rings between $C^{*} (X, C)$ and $C (X, C)$ . We show that there is a natural correlation between the absolutely c…

math.GN2019

$P s$ -normal and $P s$ -Tychonoff spaces

Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra

A space $X$ is called $P s$ -normal( $P s$ -Tychonoff) space if there exists a normal(Tychonoff) space $Y$ and a bijection $f : X \mapsto Y$ such that $f ∣_{K} : K \mapsto f (K)$ is homeomo…

math.GN2018

Recent progress in Rings and Subrings of Real Valued Measurable Functions

Soumyadip Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1

Two separated realcompact measurable spaces $(X, A)$ and $(Y, B)$ are shown to be isomorphic if and only if the rings $M (X, A)$ and $\mathcal{M…

math.GN2017

Some new results on functions in $C (X)$ having their support on ideals of closed sets

Sagarmoy Bag, Sudip Kumar Acharyya, Pritam Rooj +1

For any ideal $P$ of closed sets in $X$ , let $C_{P} (X)$ be the family of those functions in $C (X)$ whose support lie on $P$ . Further let $C^\mathcal{P}_…

math.GN2017

$z^{\circ}$ -ideals in intermediate rings of ordered field valued continuous functions

Sagarmoy Bag, Sudip Kumar Acharyya, Dhananjoy Mandal

A proper ideal $I$ in a commutative ring with unity is called a $z^{\circ}$ -ideal if for each $a$ in $I$ , the intersection of all minimal prime ideals in $R$ which contain $a$ is con…

The ring of real-valued functions which are continuous on a dense cozero set

Algebraic properties of the ring C(X)P​

Rings of functions which are discontinuous on a finite set with countable range

Rings of functions whose closure of discontinuity set is in an ideal of closed sets

A note on the rings of functions which are discontinuous on some finite sets

CCS-normal spaces

Almost separable spaces

Intermediate rings of complex-valued continuous functions

Ps-normal and Ps-Tychonoff spaces

Recent progress in Rings and Subrings of Real Valued Measurable Functions

Some new results on functions in C(X) having their support on ideals of closed sets

z∘-ideals in intermediate rings of ordered field valued continuous functions

Algebraic properties of the ring $C (X)_{P}$

$C C S$ -normal spaces

$P s$ -normal and $P s$ -Tychonoff spaces

Some new results on functions in $C (X)$ having their support on ideals of closed sets

$z^{\circ}$ -ideals in intermediate rings of ordered field valued continuous functions