Authors: Ursul M. I.
Abstract
A criterion of boundedness for subsets of the ring of endomorphisms of a vector space over an arbitrary field is
given. In the case of a finite field the bounded subsets are exactly subsets with a compact closure. The topology of a ring of endomorphisms of a vector space over a finite (arbitrary) skew field is minimal ( minimal in the class of left bounded ring topologies).
Institutul de Matematica Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova