CFP last date

by
D. Eswara Rao,
D. Bharathi

International Journal of Computer Applications |

Foundation of Computer Science (FCS), NY, USA |

Volume 87 - Number 15 |

Year of Publication: 2014 |

Authors: D. Eswara Rao, D. Bharathi |

10.5120/15286-3986 |

D. Eswara Rao, D. Bharathi . Total Graphs of Idealization. International Journal of Computer Applications. 87, 15 ( February 2014), 31-34. DOI=10.5120/15286-3986

@article{
10.5120/15286-3986,

author = {
D. Eswara Rao,
D. Bharathi
},

title = { Total Graphs of Idealization },

journal = {
International Journal of Computer Applications
},

issue_date = { February 2014 },

volume = { 87 },

number = { 15 },

month = { February },

year = { 2014 },

issn = { 0975-8887 },

pages = {
31-34
},

numpages = {9},

url = {
https://ijcaonline.org/archives/volume87/number15/15286-3986/
},

doi = { 10.5120/15286-3986 },

publisher = {Foundation of Computer Science (FCS), NY, USA},

address = {New York, USA}

}

%0 Journal Article

%1 2024-02-06T22:06:01.724635+05:30

%A D. Eswara Rao

%A D. Bharathi

%T Total Graphs of Idealization

%J International Journal of Computer Applications

%@ 0975-8887

%V 87

%N 15

%P 31-34

%D 2014

%I Foundation of Computer Science (FCS), NY, USA

Let R be a commutative ring with Z(R), its set of zero divisors. The total zero divisor graph of R, denoted Z(?(R)) is the undirected (simple) graph with vertices Z(R)*=Z(R)-{0}, the set of nonzero zero divisors of R. and for distinct x, y ? z(R)*, the vertices x and y are adjacent if and only if x + y ? z(R). In this paper prove that let R is commutative ring such that Z(R) is not ideal of R then Z(?(R(+)M)) is connected with diam(Z(?(R(+)M))) = 2 and the sub graphs Z(?(R(+)M)) and Reg(?(R(+)M)) of T(?(R(+)M)) are not disjoint. And also prove that let R be a commutative ring such that Z(R) is not an ideal of R with Z(R(+)M) = Z(R)(+)M and Reg(R(+)M) = Reg(R)(+)M then Z(?(R(+)M)) is connected if and only if Z(?(R) is connected and Reg(?(R(+)M)) is connected if and only if Reg(?(R).

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