LINKAGE OF IDEALS OVER A MODULE | ||
| Journal of Algebraic Systems | ||
| دوره 8، شماره 2، فروردین 2021، صفحه 269-281 اصل مقاله (180.3 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.9180.1447 | ||
| نویسندگان | ||
| M. Jahangiri* 1؛ Kh. Sayyari2 | ||
| 1Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran. | ||
| 2Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran. Email: sayyarikh@gmail. | ||
| چکیده | ||
| Inspired by the works in linkage theory of ideals, we define the concept of linkage of ideals over a module. Several known theorems in linkage theory are improved or recovered. Specially, we make some extensions and generalizations of a basic result of Peskine and Szpiro \cite[Proposition 1.3]{PS}, namely if $R$ is a Gorenstein local ring, $ a \neq 0$ (an ideal of $R$) and $ b := 0:_R a$ then $\frac{R}{a}$ is Cohen-Macaulay if and only if $\frac{R}{a}$ is unmixed and $\frac{R}{ b}$ is Cohen-Macaulay. | ||
| کلیدواژهها | ||
| Linkage of ideals؛ Cohen-Macaulay modules؛ Canonical module | ||
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آمار تعداد مشاهده مقاله: 414 تعداد دریافت فایل اصل مقاله: 446 |
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