Biswajit Mitra

collaborators

7 papers

math.GR2022

Socle of Hamiltonian Group

Sourav Koner, Biswajit Mitra

The socle of a group $G$ is the subgroup generated by all minimal normal subgroups of $G$ . In this short note, we determine the socle of a Hamiltonian group explicitly.

math.GN2022

Studies of certain classes of functions and its connection with $S$ -embeddedness

Biswajit Mitra, Sanjib Das

We call a function $f$ in $C (X)$ to be hard-bounded if $f$ is bounded on every hard subset, a special kind of closed subset, of $X$ . We call a subset $T$ of $X$ to be $S$ -embedded…

math.AC2022

Few remarks on essential modules

Sourav Koner, Biswajit Mitra

In the present paper, modules over integral domains and principal ideal domains that are proper essential extensions of some submodules are classified. We introduce a new class of…

math.GN2022

C(X) determines X -- an inherent theory

Biswajit Mitra, Sanjib Das

One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to investigate X and Y such that C(X) isomorphic with…

math.GN2022

Construction of nearly pseudocompactification

Biswajit Mitra, Sanjib Das

A space is nearly pseudocompact if and only if $υ X \ X$ is dense in $β X \ X$ . If we denote $K = c l_{β X} (υ X \ X)$ , then $δX=X\cup(βX\backslash…

math.GN2022

Two more characterisations of nearly pseudocompact space

Biswajit Mitra, Sanjib Das

In this paper we have obtained two more characterizations of nearly pseudocompact spaces.

Socle of Hamiltonian Group

Studies of certain classes of functions and its connection with S-embeddedness

Few remarks on essential modules

C(X) determines X -- an inherent theory

Construction of nearly pseudocompactification

Two more characterisations of nearly pseudocompact space

Studies of certain classes of functions and its connection with $S$ -embeddedness