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math.RA2026
Unital compressed commuting graph of matrices over a finite prime field
Ivan-Vanja Boroja, Damjana Kokol Bukovšek, Nik Stopar
In this paper we completely describe the unital compressed commuting graph of the ring of matrices over the finite prime field $\mathrm…
math.RA2024
When does an infinite ring have a finite compressed commuting graph?
Ivan-Vanja Boroja, Damjana Kokol Bukovšek, Nik Stopar
We show that any infinite ring has an infinite nonunital compressed commuting graph. We classify all infinite unital rings with finite unital compressed commuting graph, using semi…
math.RA2024
Compressed commuting graphs of matrix rings
Ivan-Vanja Boroja, Hamid Reza Dorbidi, Damjana Kokol Bukovšek +1
In this paper we introduce compressed commuting graph of rings. It can be seen as a compression of the standard commuting graph (with the central elements added) where we identify…