Article

A note on Golomb topologies

DOI: 10.2989/16073606.2018.1438533
Author(s): Pete L. Clark Department of Mathematics, Boyd Graduate Studies Research Center, USA, Noah Lebowitz-Lockard Department of Mathematics, Boyd Graduate Studies Research Center, USA, Paul Pollack Department of Mathematics, Boyd Graduate Studies Research Center, USA,
Keywords: 13G05, 54G99, 13G05, 54G99,

Abstract

In 1959 Golomb defined a connected topology on ℤ. An analogous Golomb topology on an arbitrary integral domain was defined first by Knopfmacher-Porubský [KP97] and then again in a recent work of Clark [Cl17]. Here we study properties of Golomb topologies.

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