مرضیه حاتم خانی

Let (R;m) be a Noetherian local ring of dimension d  1 and let M be a nonzero finitely generated R􀀀module. let n be a positive integer and let x1; : : : ; xn 2 m be an M􀀀regular sequence In this paper we shall present some equivalent conditions for the vanishing of theR􀀀moduleTorR 2 (R=(x1 : : : ; xn):M) and Extn+2 R (R=(x1 : : : ; xn):M).