V. I. Arnautov, A. V. Mikhalev, “Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem”, Mat. Sb. (N.S.), 1981, Volume 116(158), Number 4(12),Pages <nobr>467

This article is cited in 2 papers

Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem

V. I. Arnautov, A. V. Mikhalev

Abstract: A topology is constructed on a ring of polynomials that extends the topology on the coefficient ring and the topology on the set of variables. A topological analogue of the Hilbert basis theorem is proved.
Bibliography: 4 titles.

UDC: 513.83

MSC: Primary 16A05, 16A33, 16A80, 54H13; Secondary 16A64

Received: 04.09.1980