Article

On the connectedness of the complement of the zero-divisor graph of a poset

Published in: Quaestiones Mathematicae
Volume 42 , issue 7 , 2019 , pages: 939–951

DOI: 10.2989/16073606.2018.1502212

Author(s): Sarika Devhare Department of Mathematics, India , Vinayak Joshi Department of Mathematics, India , John LaGrange Division of Natural Science and Mathematics, USA

Keywords: 05C25 , 06A07 , 05C17 , 05C25 , 06A07 , 05C17

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Abstract

In this paper, connectedness is completely characterized for the complements of the zero-divisor graphs of partially ordered sets. These results are applied to annihilating ideal graphs and intersection graphs of submodules, generalizing some of the work that has recently appeared in the literature.

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