2 papers
math.RA2020
On commuting probabilities in finite groups and rings
Martin Juráš, Mihail Ursul
We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class . We believe tha…
math.RA2017
Completely simple endomorphism rings of modules
V. A. Bovdi, M. A. Salim, Mihail Ursul
It is proved that if A_p is a countable elementary abelian p-group, then: (i) The ring End(A_p) does not admit a nondiscrete locally compact ring topology. (ii) Under (CH) the simp…