11 papers
A General Framework for Spaces and Intermediate Hausdorff-Type Structures
Biswajit Mitra, Prodipta Ghosh
We introduce a unified framework of spaces, designed to encompass a broad class of generalized topological structures arising from the interaction of two topological…
Spectral Homotopy and the Spectral Fundamental Group
Biswajit Mitra, Sourav Koner
In this paper, we introduce an algebraic-topological invariant for commutative pm-rings, termed the spectral fundamental group, which is denoted by . This group is…
On semi-transitional and transitional rings
Sourav Koner, Titas Saha, Biswajit Mitra
In this paper, we introduce and study two new classes of commutative rings, namely semi transitional rings and transitional rings, which extend several classical ideas arising from…
Essential subgroups and essential extensions
Sourav Koner, Biswajit Mitra
The notion of essential submodules and essential extensions of modules are extended to groups (typically nonabelian), and several necessary and sufficient conditions for a group to…
Socle of Hamiltonian Group
Sourav Koner, Biswajit Mitra
The socle of a group is the subgroup generated by all minimal normal subgroups of . In this short note, we determine the socle of a Hamiltonian group explicitly.
Studies of certain classes of functions and its connection with -embeddedness
Biswajit Mitra, Sanjib Das
We call a function in to be hard-bounded if is bounded on every hard subset, a special kind of closed subset, of . We call a subset of to be -embedded…
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…
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…
Construction of nearly pseudocompactification
Biswajit Mitra, Sanjib Das
A space is nearly pseudocompact if and only if is dense in . If we denote , then $δX=X\cup(βX\backslash…
Two more characterisations of nearly pseudocompact space
Biswajit Mitra, Sanjib Das
In this paper we have obtained two more characterizations of nearly pseudocompact spaces.
Study of spectrum of certain subrings of a commutative ring with identity
Biswajit Mitra, Debojyoti Chowdhury, Sanjib Das
By a ring we always mean a commutative ring with identity. It is well known that maximal spectrum of , and any intermediate subrings between and are…