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| Bimonthly Since 1986 |
ISSN 1004-9037
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| Publication Details |
Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
Sponsored by: Institute of Computing Technology, CAS & China Computer Federation
Undertaken by: Institute of Computing Technology, CAS
Published by: SCIENCE PRESS, BEIJING, CHINA
Distributed by:
China: All Local Post Offices
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Abstract
Let R be a commutative ring and Z(R)∗ be its set of all nonzero zero- divisors. The zero-annihilator graph of a commutative ring R is the simple undirected graph ΓZ(R) with vertices Z(R) \ J (R), and two distinct vertices x and y are adjacent if and only if ann(x) ∩ ann(y) = {0}. In this paper, we study some basic algebraic and graph theoretical properties of ΓZ(R).
Keyword
commutative ring, annihilator graph, empty graph, split graph.
Subject Classification: 05C10; 05C25; 05C75.
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