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math.CO2017★ 1 cited
Cayley Digraphs of Matrix Rings over Finite Fields
Yeşim Demiroğlu Karabulut
We use the \emph{unit-graphs} and the \emph{special unit-digraphs} on matrix rings to show that every nonzero matrix over can be written as a sum of two $\o…
math.NT2017
Waring's Problem in Finite Rings
Yeşim Demiroğlu Karabulut
In this paper we obtain sharp results for Waring's problem over general finite rings, by using a combination of Artin-Wedderburn theory and Hensel's lemma and building on new proof…