COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION | ||
| Journal of Algebraic Systems | ||
| مقاله 4، دوره 2، شماره 2، فروردین 2015، صفحه 125-135 اصل مقاله (286.06 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.361 | ||
| نویسنده | ||
| A. Esmaeelnezhad* | ||
| Faculty of Mathematical sciences and computer, University of Kharazmi, Tehran, Iran. | ||
| چکیده | ||
| In this paper we use "ring changed'' Gorenstein homological dimensions to define Cohen-Macaulay injective, projective and flat dimensions. For doing this we use the amalgamated duplication of the base ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions characterizes Cohen-Macaulay rings with dualizing ideals. | ||
| کلیدواژهها | ||
| Semi-dualizing ideal؛ Amalgamated duplication؛ Gorenstein homological dimension؛ Cohen-Macaulay homological dimension | ||
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آمار تعداد مشاهده مقاله: 2,047 تعداد دریافت فایل اصل مقاله: 1,634 |
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