Abstract

Classification of Zero Divisor Graphs of a Commutative Ring With Degree Equal 7 and 8

Highlights

  • The concept of zero divisor graph of a commutative ring was introduced by Beck in [3]

  • T Wang [5] investigated the zero divisor graphs of degrees 5 and 6. We extend this results to consider the zero divisor graphs of commutative rings of degrees 7 and 8

  • We extend Wang’s result concerning local rings (Theorem 2.2) 2

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Summary

Introduction

The concept of zero divisor graph of a commutative ring was introduced by Beck in [3]. ‫ في هذا البحث‬.6‫ و‬5 ‫ بيانات قواسم الصفر للحلقات الإبدالية من الدرجة‬Wang ‫ درس‬2005 ‫في عام‬ He let all the elements of the ring be vertices of the graph. We extend this results to consider the zero divisor graphs of commutative rings of degrees 7 and 8.

Results
Conclusion
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