IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS | ||
Journal of Algebraic Systems | ||
مقاله 3، دوره 6، شماره 1، آذر 2018، صفحه 29-42 اصل مقاله (187.97 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2018.5530.1280 | ||
نویسنده | ||
L. Sharifan* | ||
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran and School of Mathematics, Institute for research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran. | ||
چکیده | ||
In this paper, we introduce the class of ideals with $(d_1,\ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,\ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module. | ||
کلیدواژهها | ||
Mapping cone؛ componentwise linear module؛ regularity | ||
آمار تعداد مشاهده مقاله: 481 تعداد دریافت فایل اصل مقاله: 433 |