SOME RESULTS ON THE TOTAL GRAPH OF RINGS OF FRACTIONS

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ERSHAD NEDA; Afkhami Mojgan

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Seminar Paper

Paper Information

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

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Title

SOME RESULTS ON THE TOTAL GRAPH OF RINGS OF FRACTIONS

Author(s)

ERSHAD NEDA | Afkhami Mojgan

Keywords

TOTAL GRAPH

RINGS OF FRACTIONS

CONNECTEDNESS

DIAMETER

Abstract

LET R BE A COMMUTATIVE RING. THE TOTAL GRAPH OF R, DENOTED BY T (G(R)), IS A GRAPH WITH ALL ELEMENTS OFR AS VERTICES, AND TWO DISTINCT VERTICES X&NBSP;+ Y&NBSP;Î R ARE ADJACENT IF AND ONLY IF X+ Y&NBSP;Î Z(R), WHERE Z(R) DENOTES THE SET OF ZERO-DIVISORS OF R. IN THIS PAPER, WE STUDY SOME BASIC PROPERTIES OF THE TOTAL GRAPH OF RINGS OF FRACTIONS.

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APA: Copy

ERSHAD, NEDA, & Afkhami, Mojgan. (2016). SOME RESULTS ON THE TOTAL GRAPH OF RINGS OF FRACTIONS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938741/en

Vancouver: Copy

ERSHAD NEDA, Afkhami Mojgan. SOME RESULTS ON THE TOTAL GRAPH OF RINGS OF FRACTIONS. 2016. Available from: https://sid.ir/paper/938741/en

IEEE: Copy

NEDA ERSHAD, and Mojgan Afkhami, “SOME RESULTS ON THE TOTAL GRAPH OF RINGS OF FRACTIONS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938741/en

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