TY - JOUR ID - 1253 TI - IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Sharifan, L. AD - 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. Y1 - 2018 PY - 2018 VL - 6 IS - 1 SP - 29 EP - 42 KW - Mapping cone KW - componentwise linear module KW - regularity DO - 10.22044/jas.2018.5530.1280 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_1253.html L1 - https://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdf ER -