TOTAL GRAPH OF A COMMUTATIVE SEMIRING WITH RESPECT TO IDENTITY-SUMMAND ELEMENTS
نویسندگان
چکیده
منابع مشابه
The total graph of a commutative semiring with respect to proper ideals
Let $I$ be a proper ideal of a commutative semiring $R$ and let $P(I)$ be the set of all elements of $R$ that are not prime to $I$. In this paper, we investigate the total graph of $R$ with respect to $I$, denoted by $T(Gamma_{I} (R))$. It is the (undirected) graph with elements of $R$ as vertices, and for distinct $x, y in R$, the vertices $x$ and $y$ are adjacent if and only if $x + y in P(I)...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2014
ISSN: 0304-9914
DOI: 10.4134/jkms.2014.51.3.593