TY - JOUR
T1 - On a consequence of the order ideal conjecture
AU - Dutta, S. P.
N1 - Publisher Copyright:
© 2014 Elsevier B.V.
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
SN - 0022-4049
VL - 219
SP - 482
EP - 487
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 3
ER -