IJPAM: Volume 98, No. 5 (2015)

THE ZERO DIVISOR GRAPH OF A ROUGH SEMIRING

B. Praba$^1$, A. Manimaran$^2$, V.M. Chandrasekaran$^3$
$^1$SSN College of Engineering
Kalavakkam, Chennai, 603110, INDIA
Applied Algebra Division
School of Advanced Sciences
VIT University
Vellore, 632014, INDIA


Abstract. In this paper, we define the dominant set, zero divisor of the rough semiring $(T,\Delta,\nabla)$. Also We prove that $RS(X)$ is not a zero divisor for a dominant set $X\subseteq U$ where $U$ is the finite universal set on the set of all rough sets for the given information system together with the operations praba $\Delta$ and praba $\nabla$. We illustrate these concepts through examples.

Received: January 29, 2015

AMS Subject Classification: 16Y60, 05C25, 08A72

Key Words and Phrases: semiring, zero divisor, zero divisor graph, rough semiring

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DOI: 10.12732/ijpam.v98i5.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 5
Pages: 33 - 37


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