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Zero-divisor graphs of finite direct products of finite Semirings
A. Britto1 , R. Murugeson2 , A. Subramanian3
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.1 , pp.216-220, Feb-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i1.216220
Online published on Feb 28, 2019
Copyright © A. Britto, R. Murugeson, A. Subramanian . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: A. Britto, R. Murugeson, A. Subramanian, “Zero-divisor graphs of finite direct products of finite Semirings,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.216-220, 2019.
MLA Style Citation: A. Britto, R. Murugeson, A. Subramanian "Zero-divisor graphs of finite direct products of finite Semirings." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 216-220.
APA Style Citation: A. Britto, R. Murugeson, A. Subramanian, (2019). Zero-divisor graphs of finite direct products of finite Semirings. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 216-220.
BibTex Style Citation:
@article{Britto_2019,
author = {A. Britto, R. Murugeson, A. Subramanian},
title = {Zero-divisor graphs of finite direct products of finite Semirings},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {216-220},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1162},
doi = {https://doi.org/10.26438/ijcse/v6i1.216220}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.216220}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1162
TI - Zero-divisor graphs of finite direct products of finite Semirings
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A. Britto, R. Murugeson, A. Subramanian
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 216-220
IS - 1
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper we establish a connection between graph theory and Semiring theory. To relate the graph theory and ring theory, we define the zero divisor graph of Semiring. The main objective of this paper is to determine a formula to find the number of edges of the zero-divisor graph of a direct product of Semirings. Then by using the formula we prove some results.
Key-Words / Index Term :
Zero-divisor, Graph, Semiring, Direct product, Card (n).
References :
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[10] R.L. Miller, Jeremy J. Thibodeoux and R.P. Tucci, “Zero-divisor graphs of finite direct product of finite non-commutative rings and Semigroups”, J. Algebra, Number Theory: Advances and Applications, Volume 14, No. 1, pp.1-9, 2015
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