TY - JOUR

T1 - On a consequence of the order ideal conjecture

AU - Dutta, S. P.

PY - 2015/3/1

Y1 - 2015/3/1

N2 - Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

AB - Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

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U2 - 10.1016/j.jpaa.2014.05.006

DO - 10.1016/j.jpaa.2014.05.006

M3 - Article

AN - SCOPUS:84918775591

VL - 219

SP - 482

EP - 487

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 3

ER -