与交换环相关的几类完全强湮灭理想图

IF 0.2 Q4 MATHEMATICS

Commentationes Mathematicae Universitatis Carolinae Pub Date : 2020-05-22 DOI:10.14712/1213-7243.2020.005

Jalali Mitra, Tehranian Abolfazl, Nikandish Reza, Rasouli Hamid

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引用次数: 0

摘要

设R是具有恒等式的交换环，a（R）是具有非零零零子的理想集。R的强湮灭理想图被定义为图SAG（R），其顶点集A（R）*=A（R。本文研究了一类环R的SAG（R）的完备性。

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Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings

. Let R be a commutative ring with identity and A ( R ) be the set of ideals with nonzero annihilator. The strongly annihilating-ideal graph of R is deﬁned as the graph SAG( R ) with the vertex set A ( R ) ∗ = A ( R ) \ { 0 } and two distinct vertices I and J are adjacent if and only if I ∩ Ann( J ) 6 = (0) and J ∩ Ann( I ) 6 = (0). In this paper, the perfectness of SAG( R ) for some classes of rings R is investigated.

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Commentationes Mathematicae Universitatis Carolinae MATHEMATICS-

CiteScore

0.60

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0.00%

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