A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 1، آذر 2022، صفحه 69-78 اصل مقاله (142.25 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.10593.1523 | ||
| نویسنده | ||
| A. Ghanbari Doust* | ||
| Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran. | ||
| چکیده | ||
| Let a be a proper ideal of a ring R. A finitely generated R-module M is said to be a-relative generalized Cohen-Macaulay if f_a (M)=cd(a ,M). In this note, we introduce a suitable notion of length of a module to characterize the above mentioned modules. Also certain syzygy modules over a relative Cohen-Macaulay ring are studied. | ||
| کلیدواژهها | ||
| Cohomological dimension؛ finiteness dimension؛ relative generalized Cohen-Macaulay | ||
| مراجع | ||
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