An example of a nontrivial ring topology on the algebraic closure of a finite field
type: Item
instance of: scholarly article
title: An example of a nontrivial ring topology on the algebraic closure of a finite field
zbMATH Open document ID: 0854.12002
DOI: 10.1016/0022-4049(95)00044-5
published in: Journal of Pure and Applied Algebra
publication date: 1996-10-29T00:00:00Z
review text: A field topology \(\tau\) on the algebraic closure \(\Gamma (p)\) of a finite prime field is constructed such that the completion of the topological ring \((\Gamma (p), \tau)\) is an integral domain and all its invertible elements belong to \(\Gamma (p)\). This assertion resolves partially the problem 3, p. 251 in the monograph ``Topological fields'' by \textit{W. Wiesław} [Marcel Dekker (1988; Zbl 0661.12011)].
Mathematics Subject Classification ID: 12J10
zbMATH DE Number: 897492
zbMATH Keywords: field topology
zbMATH Keywords: topological ring
author: José E. Marcos
reviewed by: Vladimir Arnautov
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00044-5
OpenAlex ID: W1979686002
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description: scientific article; zbMATH DE number 897492