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## Bounded subsets in some topological rings. (English)

Authors: Costash A. I., Ursul M. I.

### Abstract

We introduce here the notion of a boundedness degree of a topological ring. It is proved that for any natural number $n$ there exists a locally compact ring having boundedness degree $n$. A criterion of boundedness of a compactly generated subring of a locally compact ring is given. For a ring of endomorphisms of a vector space with the $G_{\delta}$-topology is given the structure of bounded subsets.

Institutul de Matematică Academia de Ştiiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova