On a consequence of the order ideal conjecture

S.P. Dutta ^[1]
1. [1] University of Illinois (USA)
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 482-487
Idioma: inglés
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Resumen
- Given a minimal set of generators x of an ideal I of height d in a regular local ring (R,m,k)(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≥0i≥0.