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Some Aspects of Zero Divisor Graph of a Commutative Ring Zn


Pinku Chandra Dey, Harun Al Roshid
Pages: 65-80
ISBN: 978-93-5834-244-4


Recent Research Trends in Mathematics (Volume -2)

Recent Research Trends in Mathematics
(Volume - 2)

Abstract

In our project report we have studied the various aspects of Zero Divisor graph of a commutative ring Z_n by D.F. Anderson, P.S. Livingston, The Zero Divisor Graph of a Commutative Ring J. Algebra 217(2), 434-447 (1999). In this project report we have found degrees of Γ(Z_n ) for various values of n. For any integer n≥1 zero divisor graph of a commutative ring denoted by Γ(R) defined by considering all the non-zero Zero-Divisors of R as vertices and any two distinct vertices are adjacent if and only if their product is zero.

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