Sudip Kumar Acharyya

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20222024

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math.GN2024

Structure spaces and allied problems on a class of rings of measurable functions

Soumajit Dey, Sudip Kumar Acharyya, Dhananjoy Mandal

A ring $S (X, A)$ of real valued $A$ -measurable functions defined over a measurable space $(X, A)$ is called a $χ$ -ring if for each $E \in A$ ,…

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.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…

Structure spaces and allied problems on a class of rings of measurable functions

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

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

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