26 citations · 27 across the 14 of their papers we have counts for
Showing 2016 · math.RAShow all
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math.RA2016
On the intersection graphs of modules and rings
Jerzy Matczuk, Marta Nowakowska, Edmund R. Puczyłowski
We classify modules and rings with some specific properties of their intersection graphs. In particular, we describe rings with infinite intersection graphs containing maximal left…
math.RA2016
Conjugate (nil) clean rings and Kothe's problem
Jerzy Matczuk
Question 3 of [3] asks whether the matrix ring Mn(R) is nil clean, for any nil clean ring R. It is shown that positive answer to this question is equivalent to positive solution fo…
math.RA2016
A note on semicentral Idempotents
Christian Lomp, Jerzy Matczuk
In this note we answer the question raised by Han et al. in J. Korean Math. Soc (2014) whether an idempotent isomorphic to a semicentral idempotent is itself semicentral. We show t…