Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-27T22:22:14.120Z Has data issue: false hasContentIssue false

On Domination of Zero-divisor Graphs of Matrix Rings

Published online by Cambridge University Press:  20 November 2018

Sayyed Heidar Jafari
Affiliation:
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. e-mail: [email protected], e-mail: [email protected]
Nader Jafari Rad
Affiliation:
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran. e-mail: [email protected], e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study domination in zero-divisor graphs of matrix rings over a commutative ring with 1.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2015

References

[1] Akbari, S. and Mohammadian, A., Zero-divisor graphs of non-commutative rings. J. Algebra 296 (2006), no. 2, 462479. http://dx.doi.Org/10.1016/j.jalgebra.2005.07.007 Google Scholar
[2] Anderson, D. E and Livingston, P. S., The zero-divisor graph of a commutative ring. J. Algebra 217 (1999), no. 2, 434447. http://dx.doi.Org/10.1006/jabr.1998.7840 Google Scholar
[3] Atiyah, M. F. and Macdonald, I. G., Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont, 1969.Google Scholar
[4] Haynes, T. W., Hedetniemi, S. T., and Slater, P. J. (eds.), Fundamentals of domination in graphs. Monographs and Textbooks in Pure and Applied Mathematics, 208, Marcel Dekker, Inc., New York, 1998.Google Scholar