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http://dx.doi.org/10.4134/JKMS.2014.51.3.593

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

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.51, no.3, 2014 , pp. 593-607 More about this Journal
Abstract
Let R be an I-semiring and S(R) be the set of all identity-summand elements of R. In this paper we introduce the total graph of R with respect to identity-summand elements, denoted by T(${\Gamma}(R)$), and investigate basic properties of S(R) which help us to gain interesting results about T(${\Gamma}(R)$) and its subgraphs.
Keywords
I-semiring; minimal prime co-ideal; identity-summand graph; total identity-summand graph;
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Times Cited By KSCI : 3  (Citation Analysis)
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