4 papers
On the sumsets of exceptional units in quaternion rings
Hassan Cheraghpour, David Dolžan
We investigate sums of exceptional units in a quaternion ring over a finite commutative ring . We prove that in order to find the number of representations of an element…
On Commuting graphs of triangular rings
Hassan Cheraghpour, Nader M. Ghosseiri, Madineh Jafari +1
Let be a noncommutative ring with identity. The commuting graph of , denoted by , is a graph with vertex set , and two vertices , are adjacent…
On Jordan superderivations and Jordan super-biderivations of trivial extensions and triangular matrix rings
Hassan Cheraghpour, Madineh Jafari
Triangular matrix rings are example of trivial extensions. In this article we describe the Jordan superderivations of the trivial extensions and upper triangular matrix rings. We d…
Vanishing Immanants
Hassan Cheraghpour, Bojan Kuzma
We classify all the irreducible characters of a symmetric group such that the induced immanant function vanishes identically on alternate matrices with the entries in the com…