ON DIRECTED ZERO-DIVISOR GRAPHS OF ORE EXTENSIONS OVER REVERSIBLE RINGS

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HASHEMI EBRAHIM; Alhevaz Abdollah

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

ON DIRECTED ZERO-DIVISOR GRAPHS OF ORE EXTENSIONS OVER REVERSIBLE RINGS

Author(s)

HASHEMI EBRAHIM | Alhevaz Abdollah

Keywords

ZERO-DIVISOR GRAPHS

DIAMETER

REVERSIBLE RINGS

ORE EXTENSIONS

Abstract

FOR AN ASSOCIATIVE RINGR, THE DIRECTED ZERO-DIVISOR GRAPH OF R IS THE GRAPH G(R) SUCH THAT THE VERTICES OF G(R) ARE ALL THE NONZERO ZERO-DIVISORS OF R AND X ® Y IS AN EDGE BETWEEN DISTINCT VERTICES X ANDY IF AND ONLY IF XY=0. OUR GOAL IN THIS NOTE IS TO GIVE A CHARACTERIZATION OF THE POSSIBLE OF DIAM (G(R [X;A,D])) IN TERMS OF DIAM (G(R)), WHEN THE BASE RING R IS REVERSIBLE AND ALSO HAVE THE (A,D) -COMPATIBLE PROPERTY. &NBSP;

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APA: Copy

HASHEMI, EBRAHIM, & Alhevaz, Abdollah. (). . . SID. https://sid.ir/paper/938558/en

Vancouver: Copy

HASHEMI EBRAHIM, Alhevaz Abdollah. . . Available from: https://sid.ir/paper/938558/en

IEEE: Copy

EBRAHIM HASHEMI, and Abdollah Alhevaz, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938558/en

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