Article

A note on Golomb topologies

Published in: Quaestiones Mathematicae
Volume 42 , issue 1 , 2019 , pages: 73–86

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

Download full text Get new issue alerts

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.

« Characterizations of connected orthogonality graphs of projections of Rickart ∗-rings

A note on subgroup commutativity degrees of finite groups »