[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.1.159

TOTAL IDENTITY-SUMMAND GRAPH OF A COMMUTATIVE SEMIRING WITH RESPECT TO A CO-IDEAL

Atani, Shahabaddin Ebrahimi (Faculty of Mathematical Sciences University of Guilan)
Hesari, Saboura Dolati Pish (Faculty of Mathematical Sciences University of Guilan)
Khoramdel, Mehdi (Faculty of Mathematical Sciences University of Guilan)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 159-176 More about this Journal

Abstract

Let R be a semiring, I a strong co-ideal of R and S(I) the set of all elements of R which are not prime to I. In this paper we investigate some interesting properties of S(I) and introduce the total identity-summand graph of a semiring R with respect to a co-ideal I. It is the graph with all elements of R as vertices and for distinct x, $y{\in}R$ , the vertices x and y are adjacent if and only if $xy{\in}S(I)$ .

Keywords

strong co-ideal; total identity-summand graph; identity-summand graph based a co-ideal; total identity-summand graph based a co-ideal;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
Cited By KSCI

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