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Characterization of some special rings via Linkage | ||
| Journal of Algebra and Related Topics | ||
| دوره 8، شماره 1، شهریور 2020، صفحه 67-81 اصل مقاله (321.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2020.15507.1186 | ||
| نویسندگان | ||
| M. Jahangiri* 1؛ Kh. Sayyari2 | ||
| 1Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| 2Faculty of Mathematical sciences and computer, Kharazmi university, Tehran, Iran | ||
| چکیده | ||
| Providing a description of linked ideals in a commutative Noetherian ring in terms of some associated prime ideals, we make a characterization of Cohen-Macaulay, Gorenstein and regular local rings in terms of their linked ideals. More precisely, it is shown that the local ring $(R,\fm)$ is Cohen-Macaulay if and only if any linked ideal is unmixed. Also, $(R,\fm)$ is Gorenstein if and only if any unmixed ideal $\fa$ is linked by every maximal regular sequence in $\fa$. We also compute the annihilator of top local cohomology modules in some special cases. | ||
| کلیدواژه‌ها | ||
| Linkage of ideals؛ Cohen-Macaulay modules؛ local cohomology؛ Special rings | ||
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آمار تعداد مشاهده مقاله: 687 تعداد دریافت فایل اصل مقاله: 785 |
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