S. Acharyya

activity

20172020

collaborators

8 papers

math.GN2020

On Cardinality Of Non Isomorphic Intermediate Rings Of C(X)

Bedanta Bose

Let $\sum (X)$ be the collection of subalgebras of $C (X)$ containing $C^{*} (X)$ , where $X$ is a Tychonoff space. For any $A (X) \in \sum (X)$ there is associated a subset $\upsilon_{A…

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

Rings and subrings of continuous functions with countable range

Sudip Kumar Acharyya, Rakesh Bharati, A. Deb Ray

Intermediate rings of real valued continuous functions with countable range on a Hausdorff zero-dimensional space $X$ are introduced in this article. Let $Σ_{c} (X)$ be the family of…

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.FA2018

Ideals in Rings and Intermediate Rings of Measurable Functions

Sudip Kumar Acharyya, Sagarmoy Bag, Joshua Sack

The set of all maximal ideals of the ring $M (X, A)$ of real valued measurable functions on a measurable space $(X, A)$ equipped with the hull-kernel top…

math.GN2018

Abundance of Isomorphic and non isomorphic intermediate rings

Bedanta Bose, Sudip Kumar Acharyya

It is well known that for a non pseudocompact space X, the family (X) of all intermediate subrings of C(X) which contain bounded real valued continuous functions contains at least…