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Some properties of the edge ideal of a simple graph in the theory of local cohomology modules | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 05 بهمن 1404 اصل مقاله (154.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.30655.1800 | ||
| نویسنده | ||
| Carlos Henrique Tognon* | ||
| Federal University of Triangulo Mineiro, Brazil | ||
| چکیده | ||
| In this paper, we have $R$ a commutative Noetherian ring, with nonzero identity, and $\mathfrak{a}$ an ideal of $R$. Here, we give some results of the theory of modules for local cohomology involving the edge ideal. We introduce the concept of $\mathfrak{a}$-edge minimax $R$-modules and also the concept of $\mathfrak{a}$-edge cominimax $R$-modules, together with the edge ideal of a simple and finite graph, with no isolated vertices. We put results involving these new concepts and present relationships that exist between them. | ||
| کلیدواژهها | ||
| Edge Goldie dimension؛ $\mathfrak{a}$-edge minimax modules؛ $\mathfrak{a}$-edge cominimax modules؛ Local cohomology؛ Edge ideal of a graph | ||
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آمار تعداد مشاهده مقاله: 29 تعداد دریافت فایل اصل مقاله: 34 |
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