some properties of comaximal ideal graph of a commutative ring

نویسندگان

zeinab jafari

islamic azad university, central tehran branch mehrdad azadi

islamic azad university, central tehran branch

چکیده

let $r$ be a commutative ring with identity‎. ‎we use‎ ‎$varphi (r)$ to denote the comaximal ideal graph‎. ‎the vertices‎ ‎of $varphi (r)$ are proper ideals of r which are not contained‎ ‎in the jacobson radical of $r$‎, ‎and two vertices $i$ and $j$ are‎ ‎adjacent if and only if $i‎ + ‎j = r$‎. ‎in this paper we show some‎ ‎properties of this graph together with planarity of line graph‎ ‎associated to $varphi (r)$‎.

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عنوان ژورنال:
transactions on combinatorics

جلد ۶، شماره ۱، صفحات ۲۹-۳۷

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