2 citations · 2 across the 7 of their papers we have counts for
8 papers
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.
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…
Zero divisors with small supports in group algebras of torsion-free groups over a field
Sourav Koner, Rabindranath Chakraborty
For any field and all torison-free group , we prove that if for some non-zero such that and $a…
The Fermat's and Euler's congruence theorems
Sourav Koner, Sreetamo Roy
We give an explicit formulae for obtaining the translation symmetries in the cartesian product , where is some positive integer and is some finite set. Moreover, we ob…
On the linear independence of radicals
Sourav Koner, Dhiren Kumar Basnet
We provide an alternative proof that the finite rational linear combination of radicals, under certain constraint, are linearly independent over .