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Ordinary and symbolic powers of edge ideals of weighted oriented graphs

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 نشر من قبل S Selvaraja
 تاريخ النشر 2021
  مجال البحث
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Let $mathcal{D}$ be a weighted oriented graph and $I(mathcal{D})$ be its edge ideal. In this paper, we show that all the symbolic and ordinary powers of $I(mathcal{D})$ coincide when $mathcal{D}$ is a weighted oriented certain class of tree. Finally, we give necessary and sufficient conditions for the equality of ordinary and symbolic powers of naturally oriented lines.



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