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math.RA2024
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…
math.RA2024
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…
math.RA2024
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…