4 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…
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…
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…