IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS

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 مقاله:

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.

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عنوان ژورنال

دوره 6  شماره 1

صفحات  29- 42

تاریخ انتشار 2018-09-01

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